David runs 15 km North, then 7 km West to get home. What is Travis's displacement?

Answers

Answer 1

Answer:

16.55 km

Explanation:

to find the displacement use the Pythagorean theorem to find the distance between the starting position and the ending position

15 becomes 225 when squared

7 is 49 when squared

225+49=274

sqrt of 274 is 16.55


Related Questions

What is the maximum current max when the circuit is at resonance, if the amplitude of the ac driving voltage is 72.0 v?

Answers

In a series RLC circuit, current I = V/Z, but at resonance, current I = V/R, hence the current at the resonant frequency is highest because the circuit impedance is merely resistance and is at its lowest at resonance. The plot between circuit current and frequency can be seen in the graph up top.

The impedance is the same as the resistor since the circuit is at resonance. The voltage divided by the resistance is then used to compute the peak current. Maximum voltage across an inductor in a series RLC occurs at a frequency slightly above the resonant frequency, while maximum voltage across a capacitor occurs at a frequency somewhat below the resonant frequency. A harmonic oscillator is driven at its natural frequency by a periodic force, which induces resonance. The apparatus is reported to resonate.

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A light ray in glass (n=1.5) hits the air-glass interface at an anlge of 10 degrees from the normal. what angle from the normal is teh light ray in teh air (n=1.0)?

Answers

By using Snell's Law, the refraction angle is 15.10⁰.

We need to know about Snell's Law to solve this problem. Snell's Law describes that the refraction of different mediums will depend on the refraction index. It can be written as

n1 . sin(θ1) = n2 . sin(θ2)

where n1 is the first refraction index, θ1 is the incident angle, n2 is the second refraction index and θ2 is the refraction angle.

From the question above, we know that

n1 = 1.5

n2 = 1

θ1 = 10⁰

By substituting the given parameters, we get

n1 . sin(θ1) = n2 . sin(θ2)

1.5 . sin(10⁰) = 1 . sin(θ2)

sin(θ2) = 1.5 . 0.17 = 0.26

θ2 = 15.10⁰

Hence, the refraction angle is 15.10⁰.

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A uranium-235 nucleus decays by a series of alpha and beta emissions until it reaches lead-207. how many alpha emissions and how many beta emissions occur in this series of decays?

Answers

The alpha emissions and beta emissions occur 7 times in this series of decays.

The sum of the mass number and atomic number on both sides of a nuclear equation must be the same. This topic involves two forms of radioactive decay: alpha decay and beta decay. From the initial element with an atomic number of less than two, alpha-decay creates an element with a mass number of fewer than four. There are no changes in the mass number of the element during beta-decay. However, the atomic number rises by one.

235U92→231Th90+4He2

231Th90→227Ra88+4He2

227Ra88→223Rn86+4He2

223Rn86→219Po84+4He2

219Po84→215Pb82+4He2

215Pb82→211Hg80+4He2

211Hg80→207Pt78+4He2

207Pt78→207Au79+0e−1

207Au79→207Hg80+0e−1

207Hg80→207Tl81+0e−1

207Tl81→207Pb82+0e−1

Hence, these seven successive alpha and beta emissions would occur in uranium-235 decay series until it reaches Pb-207.

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Mass of solid sphere of gold 273.13kg. if density of gold is 19.32 g/cm3, find the diameter of the sphere.

Answers

Using solid sphere density, the diameter of the sphere is 29.98 cm.

We need to know about the density to solve this problem. Density is a unit that measures how dense an object is. Density can be measured by dividing mass by volume. It can be written as

ρ = m / V

where ρ is density, m is mass and V is volume

From the question above, we know that

ρ = 19.32 g/cm³

m = 273.13 kg = 273130 g

Find the volume of sphere

ρ = m / V

19.32 = 273130 / V

V = 273130 / 19.32

V = 14137.16 cm³

Find the diameter of sphere

V = 4/3 . π . r³

14137.16 = 4/3 . π . r³

r³ = 3373.64

r = 14.99 cm

d = 1/2 r

d = 2 . 14.99

d = 29.98 cm

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the angle of incidence for a ray of light from air to water interface is 40 degree. if the ray travels through the water with a refractive index of 1.33, calculate the angle of refraction.

Answers

[tex]{ \qquad\qquad\huge\underline{{\sf Answer}}} [/tex]

Here's the solution ~

According to snells law :

[tex]\qquad \sf  \dashrightarrow \: n_1 ×sin \: i = n_2 \times sin \:r [/tex]

i = angle of incidence r = angle of refraction

[ n corresponds to the refracting index of a medium ]

now, as we know :

retractive index of air is approximately 1

angle of incidence is given to be 40°

refrctive endex of water is given 1.33

Now, let's proceed according to the formula ~

[tex]\qquad \sf  \dashrightarrow \: 1 \times \sin(40 \degree) = 1.33 \times \sin(r) [/tex]

[tex]\qquad \sf  \dashrightarrow \: \sin(r) = \cfrac{1 \times sin \: r}{1.33} [/tex]

[ sin 40° = 0.6428 ]

[tex]\qquad \sf  \dashrightarrow \: \sin(r) = \cfrac{0.6428}{1.33} [/tex]

[tex]\qquad \sf  \dashrightarrow \: \sin(r) \approx \cfrac{1}{2} [/tex]

[tex]\qquad \sf  \dashrightarrow \: r \approx 30 \degree[/tex]

Hence, the angle of refraction is equal to 30°

what is the answer of this

a car is travelling at a speed 38.0×10⁸m/s on an interstate highway where the speed limit is 75.0 mi/h. is the driver exceeding the speed limit​

Answers

Answer:

He exceeded the speed limit

Explanation:

[tex]{ \tt{ \frac{38 \times {10}^{8} \: m }{1 \: s} }} = { \tt{ \frac{ \frac{1}{1609} \: mi}{ \frac{1}{3600} \: hr} }} \\ \\ { \tt{ = ( \frac{1}{1609} \times 38 \times {10}^{8} ) \times (3600)}} \\ \\ = 8.5 \times {10}^{9 } \: mih {}^{ - 1} [/tex]

If you wanted to know how long
it would take you to get to the store and back, which would be more
useful, average speed or average velocity? Explain why.

Answers

The average velocity will be more useful if you wanted to know how long it would take you to get to a store and come back.

What are Average Speed and Average velocity?

The overall distance the object covers in a given amount of time is its average speed. The scalar quantity represents the average speed. It does not have direction; it is represented by magnitude.

Average Speed=[tex]\frac{total distance}{total time}[/tex]

Average velocity is a vector quantity. The change in position or displacement divided by the time periods during which the displacement happens is known as average velocity. Depending on how the displacement is displaced, the average velocity may be positive or negative. Meters per second (m/s), the SI unit of average velocity, is used.

Average Velocity=[tex]\frac{Total displacement}{Total time}[/tex]

So, in average speed no particular direction is given there can be multiple ways to go to the store and come back so average speed can be different every time.

But in case of average velocity there must be particular shortest route that is known as displacement and that would give an accurate time to go to the store and come back

Hence, average velocity is more useful as compared to average speed.

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What happens to the pressure of an ideal gas if its volume is halved and its kelvin temperature is doubled, assuming the moles of gas does not change?

Answers

If its volume is halved and its kelvin temperature is doubled, assuming the moles of gas does not change, the pressure becomes 4 times.

What is the ideal gas law?

The equation of state for a fictitious perfect gas is known as the ideal gas law, sometimes known as the generic gas equation.

Although it has some number of restrictions, it is a good approximation for the behavior of numerous gases under various circumstances.

The law of an ideal gas (PV = nRT)

Who created the ideal gas equation?

This equation was developed via the experimental labor of several people, particularly Robert Boyle, Jacques A. C. Charles, and Joseph Gay-Lussac, relates the pressure, volume, temperature, and quantity of an ideal gas.

According to ideal gas equation

PV=nRT

Here the Temperature becomes 2T and

and the volume becomes V/2

We get pressure becomes 4 times.

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A fire breaks out, raising the ambient temperature by 224.0 k while 82.0 g of gas leak out of the tank. calculate the new temperature and the number of moles of gas remaining in the tank.

Answers

The new temperature is given as 510.05 K and the number of moles that remained after the incident can be written as 6.49 mol.

Calculation

Ambient Temperature ∆T = 224K

Mass of the gas that leak out of the tank ∆m = 82g

We know that the final temperature is

T f = Ti + ∆T

= 294.05K + 224 K

≈ 518.05 K

Then the final number of moles of gas is given by

nf = mf / M co2

= mi-∆m / 44

= (367.8 - 82) / 44

≈ 6.49 mol

What is a good Ambient temperature?

The air temperature of any object or setting where equipment is kept is known as the Ambient temperature.

This number is significant for system design. It is also sometimes referred to as the ordinary temperature or the baseline temperature.

What distinguishes Ambient temperature from room temperature?

Technically speaking, “ Ambient temperature” refers to the temperature outside, whereas “room temperature” refers to the temperature inside a particular structure or room.

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Which quantities is the same before and after a nuclear change

Answers

During the nuclear change, the amount of protons remains the same and is unchanged.

The interaction between two nuclear particles (two nuclei or a nucleus and a nucleon) that results in the production of two or more nuclear particles or -rays is known as a nuclear reaction (gamma rays). The process is sometimes referred to as a nuclear scattering rather than a nuclear reaction if a nucleus interacts with another nucleus or particle without altering the nature of any nuclide.

Nuclear Reactions and Conservation Laws:

Nucleon conservation: Before and after a reaction, there is the same number of nucleons overall.Charging efficiency: Before and after a reaction, the total charges on all the particles are the same.Continuity of motion: Before and after a reaction, the overall momentum of the interacting particles remains constant.Energy conservation: Nuclear reactions result in the conservation of energy, including rest mass energy.

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A 2,000-kg car is sitting at rest in a parking lot. a bike and rider with a total mass of 60 kg are traveling along a road at 10 km/h. which system has more inertia? why?

Answers

Car has more inertia, as its mass is greater than the mass of the bike.

Since inertia is related to mass, an object with a larger mass will almost always have orders of magnitude more inertia than an object with a smaller mass. In this case, the motorcycle.

The ability of matter to resist changes in velocity (speed and/or direction) is known as inertia. The first law of motion states that unless an outside force acts on an item, it will continue to move at a certain speed. The characteristic of matter that causes this law to hold true is inertia.

Upon being battered, the mat releases dust. falling forward when abrupt breaks are applied in transit. When the tree is shaken violently, the leaves fall off. Artificial satellites continue to orbit in a circular motion due to inertia.

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How many cubic meters of water are in a cylindrical cumulus cloud of height 2.9 km and radius 1.0 km?

Answers

Answer:

50 to 500 Water drops

Explanation:

One cubic centimeter of a typical cumulus cloud contains 50 to 500 water drops.

-) A boat travels 6 m/s across
a river. The current pushes
downstream at 4 m/s. If the
river is 100 m wide, then:
a) Find the resultant vector.

HELPPP PLEASEE !!!

Answers

From the calculations,  the resultant vector is 7.2 m/s.

What is the resultant vector?

The term resultant vector has to do with that vector that has the same effect in magnitude and direction as two or more vectors acting together. Thus we have to note that a vector must have both a magnitude as well and necessarily a direction. The direction of the vector shows where the vector is headed.

In this case, we have the information that a boat travels 6 m/s across

a river. The current pushes downstream at 4 m/s. We know that the boat travels in the vertical and then the movement of the current is in the horizontal direction. We can then be able to obtain the resultant by the use of the Pythagoras theorem.

R = √(6)^2 + (4)^2

R = √ 36 + 16

R = 7.2 m/s

We then have the resultant vector is 7.2 m/s.

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How far from the base of the cliff will milada hit the ground? ignore air resistance.

Answers

The distance from the base of the cliff Milada will hit the ground is 2.43 m.

The time taken by Chirpy to reach the ground is t.

t = 2.7 seconds

The initial velocity at which Milada jumps horizontally is u.

u = 95 cm/s = 0.95 m/s

Let the height of the cliff be h.

The height of the cliff is,

[tex]h = ut \: + \frac{1}{2} at ^{2} [/tex]

[tex]h = 0 + \frac{1}{2} \times 9.8 \times( 2.7) ^{2} [/tex]

[tex]h = \frac{1}{2} \times 9.8 \times( 2.7) ^{2} [/tex]

h = 35.72 m

The height of the cliff is 35.72 m.

The distance from the base of the cliff Milada will hit the ground is,

= Initial velocity × time

= u × t

= 0.95 × 2.7

= 2.43 m

Therefore, the distance from the base of the cliff Milada will hit the ground is 2.43 m.

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A tv antenna has length l. the electromagnetic signal it can best pick up has a wavelength of _____ l.

Answers

A tv antenna has length l. the electromagnetic signal it can best pick up has a wavelength of 5.5 to 1.4 m (18 to 5 feet).

The maximum power transfer theorem, Maxwell's equations, and the fact that antennas are used to transmit and receive electromagnetic waves all suggest that the antenna's largest dimension is proportional to the wavelength, Frequency and wavelength are inversely proportional. The wavelength gets shorter as the frequency increases. A shorter antenna results from a shorter wavelength. Nevertheless, depending on the applications we use today, we may not always use wavelength/4, and the majority of our cellphones instead use wavelength/10 because wavelength/4 will produce an outdated phone with an external antenna that people will break frequently. However, the antenna performance on those phones was the best.

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A(n) ______ causes the equilibrium price to ______ and equilibrium quantity to ______.

Answers

A(n) decrease in supply results the equilibrium  price to rise and equilibrium quantity  fall

What causes equilibrium price to change?

As you'll see, a increase  in demand causes the equilibrium price to rise. On the other hand, a decrease in demand can let   the equilibrium price to fall. a rise in supply causes the equilibrium price to fall, while a decrease in supply causes the equilibrium price to rise.

How does equilibrium price affect equilibrium quantity?

A decrease in demand will cause the equilibrium price to fall; quantity supplied will decrease. a rise in supply, all other things remains unchanged, will cause the equilibrium price to fall; quantity demanded will increase. A decrease in supply will results to the equilibrium price to rise; quantity demanded will decline.

What can cause the market equilibrium price and equilibrium quantity?

An increase in demand, all other things remain unchanged, will cause the equilibrium price to rise; quantity to be  supplied will increase. A decrease in demand will results  the equilibrium price to fall; quantity supplied will decrease

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A cyclist is traveling at 7m s¹, then accelerates at 2.5m s2 for 15 seconds.
a.
How far did they travel during this time
What was the final speed after 15 seconds?
b.

Answers

Answer:

a)

[tex]{ \tt{s = ut + \frac{1}{2} {at}^{2} }} \\ \\ { \tt{s = (7 \times 15) + \frac{1}{2} \times 2.5 \times {15}^{2} }} \\ \\ { \tt{s = 105 + 281.25}} \\ { \tt{s = 386.25 \: m}}[/tex]

b)

[tex]{ \tt{v {}^{2} = {u}^{2} + 2as}} \\{ \tt{ {v}^{2} = {7}^{2} + (2 \times 2.5 \times 386.25)}} \\ { \tt{ {v}^{2} = 1980.25}} \\ { \tt{v = 44.5 \: m}}[/tex]

How do the number of stars in the milky way compare to the number of galaxies in the universe?.

Answers

Multiplying the number of stars in a milky way by the number of galaxies in the universe is how the number of stars in a milky way is compared to the number of galaxies in the universe.

Using the Milky Way model, the number of stars is multiplied in a typical galaxy which is 100 billion by the number of galaxies existing in the universe which is 2 trillion in number. The answer calculated will be absolutely an astounding number. Therefore, there are approximately 200 billion trillion stars existing in the universe.

A hundred billion galaxies exist in the Universe. A galaxy is usually full of stars. Our sun is also a star that just exists as one of at least a hundred billion stars to be present in our own Milky Way galaxy.

To estimate the number of stars in a typical galaxy and it is then multiplied by the number of galaxies estimated in the universe. In general, some galaxies shine visible better or some in an infrared condition which can be taken as an example. There also are estimation hurdles that must be overcome.

Multiplying the number of stars in a milky way by that of galaxies in the universe is how the number of stars in a milky way was compared to the number of galaxies in the universe.

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This is for ESS(Earth Space Science
You are a palaeontologist studying a rock formation with two rock layers next to each other that are noticeably different in their compositions. The difference between the layers suggests that a mass extinction event occurred between them. The following table shows the number of fossils of each group found per layer.
What conclusions can you draw?

1. The number of fossils of amphibians and marine organisms is particularly reduced in layer B. Therefore, layer A probably formed before the Late Devonian extinction and layer B after.

2. Dinosaur and mammal fossils are present in layer B but not in layer A. Therefore, layer A probably formed before the Permian-Triassic extinction and layer B after.

3. Dinosaur and mammal fossils are present in layer A but not in layer B. Therefore, layer A probably formed before the Late Devonian extinction and layer B after.

4. The number of fossils of amphibians and marine organisms is particularly reduced in layer A. Therefore, layer A probably formed before the Permian-Triassic extinction and layer B after.

Answers

The best possible conclusion that can be drawn is that the number of fossils of amphibians and marine organisms is particularly reduced in layer B. Therefore, layer A probably formed before the Late Devonian extinction and layer B after. That is option A.

Who is a palaeontologist?

A palaeontologist is an individual that has been professionally trained to obtain information from fossils and studying of the rock formations.

Fossil is defined as the preserved organic remains of living organism such as bones, shells, exoskeletons, stone imprints of animals or microbes which may have lasted for many geologic ages.

From the given table, different fossils are being identified in two rock layers such as Layer A and layer B.

Layer A contains a higher number of fossils of reptiles, amphibians and marine organisms than seen in Layer B rock formation.

Therefore, the best possible conclusion that can be drawn is that the number of fossils of amphibians and marine organisms is particularly reduced in layer B. Therefore, layer A probably formed before the Late Devonian extinction and layer B after.

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If the general solution of a differential equation is y(t), what is the solution that satisfies the initial condition y(0)?

Answers

The solution that satisfies the initial condition y(0) is y(t) = -6e^(-2t)+15 .

The general solution is actually a set of solutions, namely the set of ALL solutions of the Differential Equation. Often the general solution will be a linear combination of several functions involving some arbitrary constants.

Now,

The solution is:

y(t)=Ce^(-2t)+15

putting the initial condition, i.e., y(0) = 9.    ( it actually means y(t=0) = 9  )

y(0) = Ce^(0) + 15

9 = C + 15     (since e^0 = 1)

9-15 = C

or,  C = -6

Substituting this in the general solution:

y(t) = -6e^(-2t)+15

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A circular rod with a gage length of 3.6 m and a diameter of 2.6 cm is subjected to an axial load of 61 kn . if the modulus of elasticity is 200 gpa , what is the change in length?

Answers

By using Hooke's Law, the change in length is 2.07 x 10¯³ m.

We need to know about Hooke's Law to solve this problem. Hooke's Law describes the force applied to spring (elastic materials) will proportional to spring constant and displacement under the elastic condition. It can be described as

F = k . x

where F is force, k is spring constant and x is displacement.

The elasticity can be measured by stress and strain which

e = σ/ε

e = (F/A) / (ΔL/L)

where σ is stress, ε is strain, A is surface area, ΔL is change in length and L is initial length.

From the question above, we know that

e = 200 GPa = 200 x 10⁹ Pa

F = 61 kN = 61000 N

d = 2.6 cm = 0.026 m

L = 3.6 m

Find the surface area

A = πr²

A = π(1/2 . 0.026)²

A = 5.31 x 10¯⁴ m²

By substituting the given parameters, we get

e = (F/A) / (ΔL/L)

200 x 10⁹ = (61000/5.31 x 10¯⁴) / (ΔL/3.6)

ΔL = 2.07 x 10¯³ m

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Choose the option that correctly answers and explains the question, if the sum of the forces acting on an object equals zero, does this imply the object is at rest?.

Answers

If the sum of forces acting on an object is equal to zero, this does not imply that the object is at rest because it only implies that the moving object is not accelerating.

A force is an agent which when applied to an object, causes a change in state or direction of that object. The sum of forces acting on an object includes the resolution of all the forces acting on that object. The sum of forces acting on an object becomes zero when the resolution of all the forces acting on the object gives zero. An object in this state is said to be at equilibrium.

For example, the force of gravity may be acting on a ball resting on a surface, but the ball doesn't move because the gravitational force acting on the ball is balanced out by the reaction force from the table, hence the ball does not move, it is in a state of equilibrium.

The sum of forces acting on a moving object could also be equal to zero. When force is applied to a moving object, it accelerates (increases in speed), but when the sum of forces equals zero, the object still continues to move at uniform speed. This is in line with Newton's first law of motion, which states that "an object will remain in a state of rest or will continue to move with uniform speed, unless it is acted upon by a force.

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Complete question:

Choose the option that correctly answers and explains the question, "If the sum of the forces acting on an object equals zero, does this imply the object is at rest?" No, because the sum of the forces equalling zero only implies that the object is not accelerating. No, because even if the sum of the forces equals zero, it may have a nonzero component in one direction. Yes, according to Newton's second law, experiencing zero net force is the definition of being at rest. Yes, because Newton's first law implies that objects in motion must be acted on by a nonzero net force.

How+long+will+it+take+for+the+voltage+across+the+capacitor+to+reach+60%+of+the+maximum+voltage

Answers

A series connection between a resistor and a capacitor creates an RC circuit, which charges the capacitor progressively through the resistor until the voltage across it equals the supply voltage. The time needed to fully charge the capacitor is about equal to 5-time constants, or 5T.

Any electrical or electronic circuit or system that receives a signal or voltage, whether continuous (DC) or alternating (AC), will experience some sort of "time-delay" between its input and output terminals. Commonly referred to as the circuit's time delay or time constant, this delay shows how long the circuit takes to respond to an input step voltage or signal.

The complete question is- How long does it take for the capacitor to reach its maximum voltage potential?

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Many excitatory neurotransmitters cause the opening of channels that allow for the flow of ______.

Answers

Many excitatory neurotransmitters cause the opening of channels that allow for the flow of both Na+ and K+.

To influence another cell across a synaptic gap, a neuron produces a chemical signaling agent known as a neurotransmitter. Any significant organ, target cell, gland, or muscle cell that receives the signal could be another neuron as well. The message continues to be transmitted to the following cell as a result of the excitatory neurotransmitters "exciting" the neuron and causing it to "fire off the message.

Excitatory neurotransmitters include glutamate, adrenaline, and norepinephrine, to name a few. Acetylcholine, norepinephrine, and epinephrine are the neurotransmitters most known for their rapid but fleeting excitatory impact, while GABA is the main inhibitory neurotransmitter.

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What is the symbol of the ion having 12 protons and 10 electrons?
mg2
al3
mg
mg2-
na2

Answers

The symbol of the ion having 12 protons and 10 electrons would be Mg²⁺ , therefore the correct answer is option A.

What is the atomic number?

An atom's atomic number is determined by the total number of protons it contains. Both the number of neutrons and the number of electrons contained inside an atom have no connection to the atomic number.

We must determine the symbol for the ion with 12 protons and 10 electrons according to the problem.

As is well knowledge, the magnesium atom, symbolized by Mg2+, contains 12 electrons and 10 protons.

Thus, the correct answer is option a.

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The horizontal and vertical components of the initial velocity of a football are 24 m/s and 7 m/s respectively. what is the initial velocity of the football?

Answers

Answer:

Vx = V cos θ = 24

Vy = V sin θ = 7

Vy / Vx = tan θ = .292

θ = 16.3 deg

V = Vy / sin 16.3 = 24.9 m/s

Check:

V = Vx / cos 16.3 = 25 m/s (within rounding)

A prairie dog runs 60 meters west, and then 80 meters northwest.

Find the components in the horizontal and vertical direction.
Find the magnitude of the resultant vector, correct units, the angle, and the direction words (e.g. south of east, north of west, etc.).

Answers

23 km when x1+ x2 = 0.87/10. is the main answer.

The size of a vector in the x-direction is expressed by its x-component, also known as its horizontal component. The size of a vector in the y-direction is represented by its y-component, also known as its vertical component. A projectile's trajectory is determined by velocity in two dimensions. The projectile's x and y components each represent its horizontal and vertical motion, respectively. Meters are the units used to indicate both horizontal and vertical distances (m).

A+B=A= (x1+x 2) i+20 jx1+x2/20

=tan60 = 0.5/0.87.

A=x1 i+10 j.

B=x2 i+10 j.

A+ B = (.87/10) 2 + 20 /2

= 23 km when x1+ x2 = 0.87/10.

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For any type of energy that exhibits wavelike behavior, multiplying the wavelength by the frequency will give the ______ of the waves.

Answers

By multiplying the frequency and wavelength we'll get speed of wave.

what is wavelength?

The separation between two successive wave crests or troughs is known as a wavelength. It is determined by measuring the wave's direction.

A wave's wavelength is the separation between its crests and troughs, which may be measured for electromagnetic, sound, or other types of waves.

The peak of the wave is called the crest, while the dip is its base. Wavelength is measured in length units like meters, centimeters, millimeters, nanometers, etc. since it is a measure of distance or length.

Wavelength of the wave = Wave speed/Frequency

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16 When pollen grains in water are viewed through a microscope, they are seen to be in continuous,
rapid random motion.
What causes a pollen grain to move in this way?
A convection currents in the water
B bombardment by a single molecule of water
C
uneven
bombardment on different sides by water molecules
D collision with another pollen grain due to their kinetic energies

Answers

Uneven bombardment on different sides by water molecules.

Water is made up of little, swiftly moving particles. The pollen grains move on the surface of water because they are continually being struck by the swiftly moving water particles (the water particles or water molecules themselves are invisible under the microscope due to their extreme small size). Therefore, even though the water molecules (particles) are too small to discern, their impact on the pollen grains can be readily seen. Brownian motion is exemplified by the haphazard movement of visible particles (pollen grains) brought about by much smaller unseen water particles.The pollen grains will move with some justification if Brownian motion is used to explain the observation in the question.Brownian motion is the irregular (constant but random) movement of small particles suspended in a fluid, according to its definition. A disturbance in the medium holding the suspended particles is what is responsible for the motion. In other words, it is brought on by some fluid disruptions, which may have been brought on by some bombardments.

Therefore, option C is correct.

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In a car, you drive from your home 4 km to the gas station, 8 km to the shopping mall to let your mother off, and 8.9 km back home. The
trip takes 20 min.
What is your velocity?
O 0 m/s
O +3 m/s
O +4 m/s
O +17 m/s

Answers

Answer: +17 m/s ==> option 4

Explanation:

4 km + 8 km + 8.9 km=

12+8.9=20.9 km

1 km=1000 m

20.9 km * 1000 m/1 km=

20.9 * 1000/1=

20.9 * 1000=20900 m

1 min = 60 sec

20 min * 60 sec/1 min=

20*60/1=

20*60=1200 minutes

20900/1200=

209/12=17.4

17.4=+17 m/s ==> option 4

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