The action potential is conducted in only one direction because the brief refractory period inhibits reopening of voltage-gated Sodium (Na) channels.
There is a slight depolarization of the membrane potential which causes the sodium channels residing in the neuronal membrane to open. Therefore, the leading edge of more additional nearby sodium channels gets activated when an action potential is able to depolarize the membrane. This results in another depolarization spike, the leading edge of which opens up more nearby sodium channels, etc.
So, from the point of start, depolarization of waves propagates. The action potential then moves along an axon in every direction. Action potentials, however, go one way. This is due to the sodium channels' ability to close after activation, known as their refractory period. This movement guarantees that the action potential travels along the axon in a particular direction.
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Complete the statement: the furanose form of fructose is generated by formation of a hemiketal involving the attack of the hydroxyl group on carbon ____ with carbon ____ .
The furanose form of the fructose is generated by formation of a hemiketal involving the attack of the hydroxyl group on carbon 5 with carbon 2.
What is furanose form of fructose?Furanose can be drawn in the different structures such as Haworth structures and Fischer projections. But arrangement of atoms in the plane of the ring and Ch2Oh groups outside the plane of the ring can be clearly understood from Haworth structures. By looking at the Haworth furanose ring, one can observe that the −OH group on the second carbon is placed in two different ways on the plane of the ring. If hydroxyl group −OH is placed below the ring then it can be called as alpha form. If the −OH group is placed above ring, then it is named as beta furanose. These two forms are similar in all the respects except in stereo-geneticity. Furanose can form pyranose rings also by hemiketal formation of carbonyl of second carbon and hydroxyl of sixth carbon. This results in the formation of pyranose form of fructose. But predominant form of fructose among both is furanose rings. In both these form anomers are possible.
The furanose form of the fructose is generated by formation of a hemiketal involving the attack of the hydroxyl group on carbon 5 with carbon 2.
(This generates five-member furanose ring typical of fructose.)
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How many sublevels are in the =3 level? sublevels: how many orbitals are in the =3 level? orbitals: what is the maximum number of electrons in the =3 level? electrons:
The s sublevel can only hold two electrons because it has one orbital. The p sublevel has three orbitals and a maximum capacity of six electrons.
The d sublevel may hold a maximum of 10 electrons due to its five orbitals. Additionally, the 4 sublevel has 7 orbitals and a maximum of 14 electrons.
What number of orbitals makes up sublevel 3?The third energy level has nine orbitals.
N is the number of orbits, while n2 is the number of orbitals (s).
How many orbitals can each set of quantum numbers identify at their greatest capacity?
As a result, the provided quantum number can only identify a maximum of one orbital, or 3pz.
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A car accelerates from rest at a rate of 2.0 m/s^2 [n]. what is the displacment of the car at t=15s?
By using uniform motion, the car displacement is 225 meters.
We need to know about the uniform motion to solve this problem. The uniform motion is an object's motion under acceleration. It should follow the rule
vt = vo + a . t
vt² = vo² + 2a . s
s = vo . t + 1/2 . a . t²
where vt is final velocity, vo is initial velocity, a is acceleration, t is time and s is displacement.
From the question above, we know that
a = 2 m/s²
vo = 0 m/s
t = 15 s
Use the third equation to calculate the displacement
s = vo . t + 1/2 . a . t²
s = 0 . 15 + 1/2 . 2 . 15²
s = 0 + 225
s = 225 m
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Calculate the radius of a tantalum (ta) atom, given that ta has a bcc crystal structure, a density of 16.6 g/cm3 , and an atomic weight of 180.9 g/mol.
Based on the calculations, the radius of a tantalum (Ta) atom is equal to 0.143 nm.
Given the following data:
Density of tantalum (Ta) = 16.6 g/cm³.
Atomic weight of tantalum (Ta) = 180.9 g/mol.
What is density?Density can be defined as a ratio of mass to the volume of a physical object such as a tennis ball. Mathematically, the density of a physical object can be calculated by using this formula:
Density = Mass/Volume
For the mass of this unit cell, we have:
Mass = 2 atoms/unit-cell × 180.9 g/mol × 1 mol /6.022 x 10²³ atoms/mol
Mass = 6.01 x 10⁻²² g/unit-cell
Next, we would determine the volume and edge length of the cube:
Volume, V = 6.01 x 10⁻²²/16.6
Volume, V = 3.62 x 10⁻²³ cm³
For the edge length, we have:
V = a³
a = ∛V
a = ∛3.62 x 10⁻²³ cm
Edge length, a = 3.31 x 10⁻⁸ cm
Mathematically, the edge length of a body-centered cubic unit cell is given by this formula:
a = 4r/√3
r = a × √3/4
r = 3.31 x 10⁻⁸ × √3/4
Radius, r = 1.43 × 10⁻⁸ cm
Lastly, we would convert the value in cm to nm:
Radius, r = 1.43 × 10⁻⁸ × 1/100 × 1 × 10⁹
Radius, r = 0.143 nm.
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A light-rail commuter train accelerates at a rate of 1.40 m/s2. how long does it take to reach its top speed of 76.5 km/h, starting from rest?
A light-rail commuter train accelerates at a rate of 1.40 m/s2, it take 15.17s to reach its top speed of 76.5 km/h, starting from rest.
What is the difference between speed and velocity?When describing the motion of the objects in terms of distance, time, and direction, physicists use the basic quantities of speed and velocity. Two terms and two distinct meanings. Yet, not uncommonly, we hear these terms used in interchangeably. So, what is the difference? Why is it incorrect to use terms speed and velocity interchangeably?
The reason is very simple. Speed is time rate at which an object is moving along a path, while velocity is the rate and direction of an object’s movement. Put another way, the speed is a scalar value, while velocity is a vector.
The mathematical calculation for speed is relatively straightforward, wherein the average speed of an object is calculated by dividing the distance traveled by the time it took the object to travel distance. Velocity, on the other hand, is more complicated mathematically and can be calculated in different ways, depending on what information is available about object’s motion. In its simplest form, average velocity is calculated by dividing change in position (Δr) by change in the time (Δt).
The formula to find the acceleration is:
[tex]a=\frac{v-u}{t}\\ t=\frac{v-u}{a}\\\\ =\frac{21.25-0}{1.40} \\\\ =15.17[/tex]
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please help if can! thanks
If the mass of squirrel is 0.40g and the force by which boat pulls the squirrel is 2N, then the acceleration of squirrel is 5 m/s²
Given,
Force = 2N
Mass = 0.4kg
What is Newton's second law of Motion?According to Newton's second law of motion, the rate of change of momentum is directly proportional to the force.
F = ma ----(1)
where,
m is the mass of the body
a is the acceleration by which body move
F is the force
From 1 equation,
a = F/ m
By substituting all the values, we get
a = 2/0.4
a = 5
Thus, we concluded that if the mass of squirrel is 0.40g and the force by which boat pulls the squirrel is 2N, then the acceleration of squirrel is 5 m/s².
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When the pilot reverses the propeller in a boat moving north, the boat moves with an acceleration directed south. Assume the acceleration of the boat remains constant in magnitude and direction. What happens to the boat?.
The boat will eventually stops and then speeds up in the reverse direction.
Because the object has an initial positive (northward) velocity and a negative (southward) acceleration; so, a graph of velocity versus time slopes down steadily from an original positive velocity. Eventually, the graph cuts through zero and goes through increasing-magnitude negative values.
Acceleration is the name we give to any process where the velocity changes. Since velocity is a speed and a direction, there are only two ways for you to accelerate: change your speed or change your direction—or change both.
Magnitude is defined as the maximum extent of size and the direction of an object. Magnitude is used as a common factor in vector and scalar quantities. By definition, we know that scalar quantities are those quantities that have magnitude only. Whereas vector quantities are those quantities that have both magnitude and direction.
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What is the difference between the solar system, the galaxy, and the universe? (select all that apply.)
The difference between the solar system, the galaxy, and the universe is as follows:
A solar system consists of a star and objects that are affected by its gravity revolve around it. The objects that revolve around the star are planets, moons, asteroids, and comets. Take an example of our solar system, the Sun is the star, and all the planets including Earth and moons are revolving around it.
A Galaxy consists of billions of stars and Solar systems. Despite billions of stars, most of a galaxy is empty. This tells a lot about the size of a galaxy. The galaxy that we are in is known as Milky Way.
The universe is all matter and space that there is. It consists of all the galaxies, the solar systems, and everything known to mankind.
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Consider an incandescent lightbulb. If you wanted to turn a 10-w lightbulb into a 100-w lightbulb, how would you change the temperature of the filament inside the bulb?.
By using the blackbody radiation formula, the temperature of the filament inside the bulb is changed by a factor of 10⁰'²⁵.
To tackle this issue, we need to understand black body radiation. A black body object's energy emission is inversely proportional to its area and the temperature to the fourth power. It may be established that
P = A . e . σ . T⁴
where P (power), A (surface area), e (emissivity), ( 5.67 x 10¯⁸ W/m²K⁴), and T (temperature) are all variables.
From the question above, we know that
P1 = 10 watt
P2 = 100 watt
T1 = T1
By using the black body radiation formula, the ratio of temperature is
T1⁴ / T2⁴ = P1 / P2
Hence,
T1⁴ / T2⁴ = P1 / P2
T1⁴ / T2⁴ = 10 / 100
T1⁴ / T2⁴ = 1 / 10
T2⁴ = 10T1⁴
T2 = ⁴√(10T1⁴)
T2 = T1 x 10⁰'²⁵
Thus, the temperature of the filament inside the bulb is changed by a factor of 10⁰'²⁵.
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__________ receptors detect presence of acids in substances, whereas __________ receptors detect sodium in substances. a. sour . . . salt b. sweet . . . bitter c. bitter . . . salt d. sweet . . . sour please select the best answer from the choices provided a b c d
The correct option is A.
Sour receptors help in the detection of the presence of acids in substances, whereas salt receptors help in the detection of sodium in substances.
A sour type of taste is considered as a quality of primary task that makes an innate rejection type of response in humans as well as in many other animals. Generally, Acidic stimuli are certain unique sources of a sour taste as whenever a rejection response might serve a discouragement of ingestion of foods which is spoiled by microorganisms that produce acids. The mechanisms by which an acid excites receptor cells of taste (TRCs) are actually complicated by the variability of wide species and are within species that are apparently different kinds of mechanisms for the case of strong and weak acids in substances.
The presence of epithelial sodium channels mediates the mechanism of salt taste. Usually, these receptors are open, and whenever foods are ingested with a high concentration of salt, sodium starts to flow into the cell which causes depolarization. This change occuring in the membrane potential then opens to voltage-gated sodium as well as calcium channels. The calcium influx is in an increased state that causes releasing of serotonin which is filled by vesicles. The serotonin aids in the acting of afferent taste as by axon which causes depolarization and action potentials.
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without calculating the result, find the number of significant figures in the following product.
(3.52 x 10^-11) x (7.823 x 10^11)
The number of significant figures in the product is 2.7537 x 10¹.
What is significant figure?
The term significant figures refers to the number of important single digits in the coefficient of an expression in scientific notation.
Result of the calculation(3.52 x 10^-11) x (7.823 x 10^11)
= (3.52 x 7.823) x (10⁻¹¹ ⁺ ¹¹)
= 27.53696 x 10⁰
= 27.53696
= 2.7537 x 10¹
Thus, the number of significant figures in the product is 2.7537 x 10¹.
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If a vehicle is traveling 13 m/s, what is its velocity in miles per hour? (0.62 miles = 1.00 km)
The vehicle that is traveling at a 13 m/s has a velocity expressed in miles per hour of: 29.016 miles/h
To solve this problem the we have to do the conversion of units with the given information.
Information about the problem:
v = 13 m/sv = expressed in (miles/h) = ?0.62 miles = 1.00 kmBy converting the velocity units from (m/s) to miles per hour (miles/h) we have:
v = 13 m/s * 1 km/1000 m * 0.62 miles/ 1 km * 3600 s/1 h
v = 29.016 miles/h
What is unit conversion?It is the transformation of a value expressed in one unit of measurement into an equivalent value expressed in another unit of measurement of the same nature.
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A student pushes down with a force of 2 N on the plunger of syringe A. Syringe B
has a plunger with an area that is 3 times the area of plunger A. What is the force
produced by plunger B?
Answer:
SYRINGE B PLUNGER FORCE=3*2=6
Force produced by plunger B is 6 Newtons
At some instant the velocity components of an electron moving between two charged parallel plates are?
The velocity components of an electron moving between two charged parallel plates are[tex]v_y + Eed/m_ex v_x[/tex].
Any vector's magnitude, represented by its unit and pointing in the direction of the vector, is its length. As a result, the acceleration's magnitude is equal to the length of the acceleration vector and it is pointed in the same direction.
let the magnitude charge of the electron =[tex]e = 1.6 \times10^{-19} C[/tex]
me= mass of electron = 9.11 x 10^-31
force on the electron = Ee
Magnitude of acceleration [tex]a= Ee/m_e[/tex]
In x direction there is no field --> no force---> no acceleration
[tex]d = v_xt[/tex]
[tex]t = d/v_x[/tex]
the y-component of electron's velocity when its x coordinate has changed by a distance [tex]d v_y' = v_y + at = v_y + Eed/m_ex v_x[/tex]
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Which object weighs approximately 1 newton?
1. dime
2.paper clip
3.physics student
4.golf cart
Answer:
None of the choices is appropriate.
Explanation:
if you drop a rock from a height of 17m, it accelerates at g and stikes the ground 1.86263s later. If you drop the same rock from half the height, what will be the acceleration?
If you drop the same rock from half the height, the acceleration will be 4.9 m/s².
Acceleration of the object
The acceleration of the object dropped from half of the given height is calculated as follows;
h = vt + ¹/₂at²
where;
v is the initial velocity of the objecta is the acceleration of the objectt is time of motionh = 0 + ¹/₂at²
h = ¹/₂at²
2h = at²
a = 2h/t²
a = (2 x 0.5h)/t²
a = (h)/(t²)
a = (17 m) / (1.86263²)
a = 4.9 m/s²
Thus, if you drop the same rock from half the height, the acceleration will be 4.9 m/s².
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Capacitance is the measure of a capacitors ability to store an electrical charge.
a. true
b. false
True
Capacitance is the ability of a component or circuit to collect and store energy in the form of an electrical charge.
what is electric charge?Electric Charge is the property of subatomic particles that causes them to experience a force when put in an electric and magnetic field. Electric charges are of two sorts: Positive and Negative, commonly carried by charge carriers protons and electrons.
Electric charge is a scalar quantity. Apart from having a magnitude and direction, a quantity to be named a vector ought to too comply the laws of vector addition, such as triangle law of vector addition and parallelogram law of vector addition; as it were at that point the amount is said to be a vector quantity. When two currents meet at a intersection, within the case of an electric current, the resultant current of these will be an algebraic sum and not the vector whole. Subsequently, an electric current may be a scalar quantity, in spite of the fact that it has magnitude and direction.
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The diameter of a copper wire is 3mm. Express this diameter in meters.
Answer:
0.003 meters
Explanation:
[tex]d=3mm(\frac{1m}{1000mm} )=\frac{(3)(1)}{1000} =\frac{3}{1000} =0.003m[/tex]
Hope this helps
Answer:
3× 10^ {-3}m
Explanation:
3mm=0.003m
0.003= 3× 10^ {-3}
A 10-foot-tall ladder rests against an 8-foot wall. the wall and ground form a 90-degree angle. how many feet away from the wall is the bottom of the ladder?
[tex]\frac{-2}{15} \\radians per secondExplanation:Denoting the distance in feet between the wall and the base of the ladder by x and the angle in radians between the ladder and the ground by y, it is notedcos(y)=x/10which impliesy=arccos(x/10)Denoting time in seconds by t, it is further noted that[/tex]
[tex]\frac{dy}{dt}= \frac{dy}{dx}\frac{dx}{dt} (chain rule)\\ Noting (using standard table of derivatives for convenience)\\\frac{dy}{dx} = -\frac{0.1}{\sqrt{1-0.01x^{2} } } \\\frac{dx}{dt} =0.8 f/sec\\so,\\\frac{dy}{dt}(8)=\frac{dy}{dx}\frac{dx}{dt} = -\frac{0.08}{\sqrt{1-0.01(64)} } \\ = -\frac{0..8}{\sqrt{0.36} } =\frac{8}{60} = \frac{-2}{15 } radian/sec[/tex]
what is radian ?The radian is a term of angular measurement established so that an arc with an arc length of 1 is produced by an angle over one radian area enclosed from the center of a unit circle.
Due to the fact that a whole angle is 2pi radians, there are 360 ° per 2pi radians, or 180 ° or 57.29577951 degrees per radian. Similar to this, a straight angle has a radius of pi and a right angle has a radius of pi/2.The SI defines the radian as a dimensionless unit having the value 1 rad. As a result, its sign is frequently omitted, particularly in mathematical writing.When measuring angles, the radian is frequently employed in physics. For instance, angular velocity is frequently expressed in terms of radians per second (rad/s). The reciprocal of one revolution per second is two radians per second.
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The radius of a tungsten atom is 137 pm. how many tungsten atoms would have to be laid side by side to span a distance of 3.51 mm?
2.5 × 10⁻⁷ atoms will occupy 3.51 mm.
Firstly converting the radius of a tungsten atom from picometer to millimeter.
As per the known fact, 1 pm = 10⁻⁹ mm
Radius in mm = 137 × 10⁻⁹ mm
Radius in mm = 1.37 × 10⁻⁷ mm
Now, if atoms are laid side by side, then the distance occupied by each atom will be equal to it's diameter.
Now, 1.37 × 10⁻⁷ mm space is occupied by : 1 atom
Space occupied by 3.51 mm = (1÷ 1.37 × 10⁻⁷)×3.51
Performing multiplication and division
Space occupied by 3.51 mm = 2.5× 10⁻⁷ atoms
Hence, 2.5× 10⁻⁷ atoms will occupy 3.51 mm.
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A piano string having a mass per unit length equal to 5.20 10-3 kg/m is under a tension of 1 250 n. find the speed with which a wave travels on this string.
A piano string having a mass per unit length equal to 5.20 10^-3 kg/m is under a tension of 1 250 n, then speed with which the wave travels is 490.29 m/sec
Speed of waveWavelength x Frequency equals speed. When the wavelength and frequency values are known, this equation can be used to determine the wave speed.
If the wave speed and the other value are known, the equation for wave speed can be written to solve for wavelength or frequency. Unit = meters/second
The distance a wave shape travels divided by the time it takes to cover that distance is its velocity. Also known as wave velocity V. Symbol meters/second are the units (ms-1).
The speed of the wave's doubles when the frequency of a wave source is doubled.
V= sqrt T/u = sqrt [1250/5.20 x 10^-3]
= 490.29 m/sec
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An outside force, fo, brings two small metal spheres, a and b, at rest from a long distance away to a point where they are:________
They are 1 meter apart.
What is the definition of force?The definition of force in physics is that it is a push or pull on a massed object that helps change its velocity.
An external force is a kind of agent that has the power to alter any type of resting or moving condition of a body. It has got its own direction and a magnitude.
What in force defined as in science?One thing experiences a force from another. There are both living things and non-living objects in the concept of a force.
All objects, living and non-living, have the ability to exert a force on or against another item, as well as have their actions affected by forces.
Describe a force unit.The newton, abbreviated N, is the SI unit of force. The meter and unit are the foundation units that pertain to force.
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We have looked at generational cohorts (e.g., gen x, millennials and gen z) in class. these are helpful to marketers, since ________________________.
We have looked at generational cohorts (e.g., gen x, millennials and gen z) in class. these are helpful to marketers, since all consumers within a generational cohort share the same lifestyle preferences
Organizations Have 3 Basic Functions Marketing, Operations and Financeoperation is the part of a business organization that is responsible for producing goods or services, Influences all of the rest of the organization and the actual doing part of the business processOperations Management is the management of systems or processes that create goods and/or provide services. it affects: Companies' ability to competeFeedback is the measurements taken at various points in the transformation processTo know more about Operations Management visit : https://brainly.com/question/16289727
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What charge must a 0.100-mg drop of paint have to arrive at the object with a speed of 10.0 m/s?
The electrical charge of the metal sphere is ∈ = 2.78×10⁻⁷C
The value of the load or strength of the paint droplet is ∈ = 2×10⁻¹⁰ C
What are forces?Forces are the definition of Newton's second law, which is stated under the relation:
∑ Force = mass × acceleration.
In other words, force is the origin of motion since it generates acceleration in a system.
Completamos el enunciado:
"An electrostatic paint sprayer has a 0.200-m-diameter metal sphere at a potential of 25.0 kV that repels paint droplets onto a grounded object. (a) What charge is on the sphere? (b) What charge must a 0.100-mg drop of paint have to arrive at the object with a speed of 10.0 m/s?"
We must determine the charge on the sphere initially.
a) We determine the radius of the sphere:
r = 0.2m/2
r = 0.1mPotential = 25000V∈ = rV/k
∈ = (0.1m)(25000V) / (9×10⁹Nm²/C²)
∈ = 2.78×10⁻⁷C
b) If the mass of the paint drop is 0.1mg, and it moves with a velocity of 10m/s, we determine the kinetic energy.
Ke = mV²/2
Ke = 0.1×10⁻⁶kg (10m/s)² / 2
Ke = 5×10⁻⁶J = ΔE
∈ = ΔE/ ΔV
∈ =5×10⁻⁶J / 25000V
∈ = 2×10⁻¹⁰ C
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A 50-kg stunt diver is falling at a speed of 20 m/s. When she is stopped by sinking into a cushion, the cushion exerts an average force of 2500 n on her. Approximately how much time did it take her to stop moving once she hit the cushion?.
The approximately time that takes to stop the stunt driver once she hit the cushion is: 0.4 s
To solve this exercise, the formulas and procedures to be applied are:
F = m * at = (vf – vi) / aWhere:
m = massF = Forcea = accelerationt= timevf= final velocityvi = initial velocityInformation about the problem:
m = 50 kgvi = 20 m/sF= -2500 NVf = 0 m/s1 N = kg * m/s²a= ?t =?Applying the force formula and isolating the acceleration, we get:
F = m * a
a = F/m
a = -2500 N /50kg
a = -2500 kg * m/s² / 50 kg
a = -50 m/s²
Applying the time formula we get:
t = (vf – vi) / a
t = (0 m/s – 20 m/s) / 50 m/s²
t = (– 20 m/s) / -50 m/s²
t = 0.4 s
What is force?It is the physical magnitude that expresses the effort necessary to move the mass of one kilogram with an acceleration of one meter per second squared, this is expressed in units of the international system in Newton.
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Identify the types of lineages and clans that Diana is observing.
Diana is a postgraduate student in anthropology, and she is studying the descent system followed by a tribe in Africa. She observed that
✓lineage as the children used to choose to claim inheritance from either of their parents. The tribe
the tribe had a
was arranged in the form of a
where people claimed relationship to an ancestor through a series of male links.
Answer:
Collateral
Explanation:
As we study mass, volume, and density, we will compare the measurements of actual objects. Let's see how you do measuring mass. Download the activity worksheet to record your data. Begin by finding ten rectangular-shaped objects and measure the mass using a scale (any scale will do as long as it works). You can choose books, sandwiches, phones, pictures - as long as the shape is a rectangle. Then rank the objects from the one with the heaviest mass to the one with the lightest mass in the space provided. We will continue to measure, so once you are finished, continue with the lesson; but save your data worksheet - you'll need to complete the rest of the worksheet as we progress.
The mass of objects such as books, sandwiches, phones, pictures can be measured using a weighing balance scale.
What is the mass of an object?The mass of an object is defined as the scalar quantity of that object that shows the amount of matter that makes up the object.
Mass is called a scalar quantity as it doesn't require the direction of an object but only it's magnitude to be measured.
it is measured in Kilograms or Kg using a weighing balance scale.
The volume of an object is the relationship that exists between its height, length and width. That is, L×W×H.
The volume of the ten rectangular shaped objects given above can be measured once the height, length and width of the objects are known.
The density of the objects is the relationship that exists between the mass and the volume of the object. That is,
Density= mass/volume.
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- How fast is the ducky going when it hits the ground?
Answer:
Doesn't matter how fast it was going, all that matters now is that little ducky went splat and he is living no more
Explanation:
There is not enough information
There is no ground.
There is no ducky.
And it is not moving.
A car accelerates from to at a rate of how far does the car travel while accelerating?
The car will travel 69.3m while accelerating, using the equation of motion.
Using the equation of motion:
[tex]v^{2}- u^{2} = 2as[/tex]
[tex]s = \frac{v^{2}-u^{2} }{2a}[/tex]
where, s = displacement
u = initial velocity
v = final velocity
a = acceleration
Plugging in the values we get,
[tex]s = \frac{21^{2} - 5^{2} }{2*3.0}[/tex]
s = 69.3meters
Therefore, the car will travel 69.3m while accelerating, using the equation of motion.
The complete question is: A car accelerates from 5.0 m/s to 21 m/s at a constant rate of 3.0 m/s2, How far does it travel while accelerating?
Learn more about equation of motion here:
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6. A student starts at the origin and walks 6 meters away taking a time of 3 seconds to do so. The student then stands still for 2 seconds, and walks back towards the origin a distance of 3 meters in the next 5 in seconds. The student stops for a 1 second break and then walks 7 meters back towards the origin and ends up passing the start point. What distance did this student travel? What was their displacement?
Answer: 16 meters; -4 meters
Explanation:
For this question, you can ignore the times that were given to you.
a.) Let's start with distance. Distance is a total sum, regardless of direction. This student walked 6 meters, stands still (0 meters), 3 meters, and 7 meters. Sum up these values: 6+0+3+7 = 16 meters
b.) Displacement adds direction. The student walks 6 meters away. We will give this the +x-direction. They then walk 3 meters back towards the origin (-x-direction) and pause for a second. They continue to walk 7 more meters toward the origin (-x-direction). This time when we sum these values we must include the signs: 6+(-3)+(-7) = -4 meters. We can test this by referring to the sentence where it says they passed their starting point. This means they are now in the -x-direction and we have a negative displacement.
Hope this helps!