a mountain biker cycling a trail traveling at 5.4 m/s begins to slow down when she notice a wooden bridge ahead has flooded. if she begins braking when she is 15.0 m from the bridge and comes to a stop just before reaching the bridge, how long did it take her to stop ?

Answers

Answer 1

Answer:

t = 5.56 s

Explanation:

In order to calculate the time interval taken by the mountain biker to come to a stop, we will use third equation of motion and first find the deceleration:

2as = Vf² - Vi²

where,

a = deceleration = ?

s = distance = 15 m

Vf = Final Velocity = 0 m/s

Vi = Initial Velocity = 5.4 m/s

Therefore,

2a(15 m) = (0 m/s²) - (5.4 m/s)²

a = - 0.972 m/s²

Now, we use 1st equation of motion:

Vf = Vi + at

therefore,

0 m/s = 5.4 m/s + (-0.972 m/s²)(t)

t = (5.4 m/s)/(0.972 m/s²)

t = 5.56 s

Answer 2

The time taken should be t = 5.56 s

Calculation of the time taken:

here we used the third equation of motion

But first we determine the deceleration.

We know that

2as = Vf² - Vi²

here,

a = deceleration = ?

s = distance = 15 m

Vf = Final Velocity = 0 m/s

Vi = Initial Velocity = 5.4 m/s

So,

2a(15 m) = (0 m/s²) - (5.4 m/s)²

a = - 0.972 m/s²

Now, we use 1st equation of motion:

So,

Vf = Vi + at

0 m/s = 5.4 m/s + (-0.972 m/s²)(t)

t = (5.4 m/s)/(0.972 m/s²)

t = 5.56 s

Hence, The time taken should be t = 5.56 s

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Related Questions

On a beautiful day you decide to go fishing with your younger brother Ben. Ben has not been fishing before so he doesn't know how to properly cast out his line. He puts the lure 24.5 cm above the water before letting it drop straight down. The line accelerates until it hits the water then continues to the bottom of the lake at a constant speed. It takes the lure 5.00 s to reach the bottom of the lake from when it was released by Ben.

Answers

Answer:

The question is not complete, below is the complete question:

On a beautiful day you decide to go fishing with your younger brother Ben. Ben has not been fishing before so he doesn't know how to properly cast out his line. He puts the lure 24.5 cm above the water before letting it drop straight down. The line accelerates until it hits the water then continues to the bottom of the lake at a constant speed. It takes the lure 5.00 s to reach the bottom of the lake from when it was released by Ben. How deep is the lake? (Assume the lure accelerates at the free fall rate of 9.8 m/s² until it hits the water.)

Answer:

depth of lake = 98cm

Explanation:

Total height of free fall = distance above water + depth of lake = h

for an object falling under the influence of gravity

[tex]h = \frac{1}{2} gt^2\\where:\\h = height\\g = acceleration\ due\ to\ gravity = 9.8\ m/s^2\\t = time = 5 s\\\therefore h = \frac{1}{2} \times 9.8 \times 5^2\\h = 0.5 \times 9.8 \times 25\\h = 122.5cm[/tex]

Total distance travelled = 122.5cm

Total distance travelled = height above water + depth of lake

122.5 = 24.5 + depth of lake

depth of lake = 122.5 - 24.5

depth of lake = 98cm

What is the main job of the lungs?​

Answers

The main job of the lungs is to bring fresh air into your body when you breathe in and removing waste gases when you breathe out.

Which force requires contact?

A. The force of attraction between two masses
B. The force produced by interactions between electrically charged objects
C. The force exerted by air as an object moves through it
D. The force produced by interactions between magnetic objects

I personally think it’s D but I’m not too sure

Answers

Answer:

I think its D too

Explanation:

Answer:

It’s C bruh

Explanation:

Health education provides

A.medical health coverage

B.accurate health information

C.a wellness guarantee

D.none of the above

Answers

I think the answer will be B

1. What three particles are found in an atom?

Answers

Answer:

Protons, Electrons, and neutrons

Answer:

protons electrons neutrons

Explanation:

In an experiment, the factor that changes as a result of what happens
during the experiment (and the scientist measures) is called the __.

Answers

Answer:

The dependent variable

Explanation:

This is because this variable depends on what happens during the experiment.

How many chicken feet hatch from 3 dozen eggs? Explain.

Answers

Answer: I think it would be 72 because 12x3=36 and then all the chick have 2 feet each so you would multiply t but 2 and that would be 72

Explanation:

Please help mee.
A fisherman casts a lure toward the river at an angle of 25° above the horizontal. The lure reaches a maximum height of 2.9 m above where it was cast.

What is the initial velocity of the lure? Assume that the line exerts no appreciable drag force on the hook.​

Answers

Answer:

17.84 m/s.

Explanation:

From the question given above, the following data were obtained:

Angle of projection (θ) = 25°

Maximum height (H) reached = 2.9 m

Acceleration due to gravity (g) = 9.8 m/s²

Initial velocity (u) =..?

Thus, we can obtain the initial velocity of the lure as follow:

H = u² sine² θ /2g

2.9 = u² × (sine 25)² / 2×9.8

2.9 = u² × (0.4226)²/19.6

Cross multiply

u² × (0.4226)² = 2.9 × 19.6

u² × (0.4226)² = 56.84

Divide both side by (0.4226)²

u² = 56.84/(0.4226)²

u² = 318.27

Take the square root of both side

u = √318.27

u = 17.84 m/s.

Therefore, the initial velocity of the lure is 17.84 m/s.

compared to the mass and charge of a proton, the electron has
a. the same charge and the same mass
b. the opposite charge and smaller mass
c. the opposite charge and the same mass
d. the same charge and a smaller mass

Answers

b. opposite charge and smaller mass

Compared to the mass and charge of a proton, the electron has the opposite charge and smaller mass. Thus, the correct option is B.

What are electrons?

An electron is a negatively charged subatomic particle which can be either bound to an atom or in free state that is it is not bound. An electron  which is bound to an atom is one of the three primary types of particles which are present within the atom and the other two are protons which are positively charged and neutrons, which are neutral. Together, the three particles that is the electrons, protons and neutrons form an atom's nucleus.

Electron is discovered by J.J. Thomson in the year 1897. The electric charge on an electron is −1.602176634 × 10⁻¹⁹ C. The symbol used to denote electron are e− and β−. Electrons belong to the family lepton. Electron has a mass of about 9.1093837015 × 10⁻³¹ kg.

Therefore, the correct option is B.

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shows an oil tank that has a rectangular base of dimensions 2.4 m by 1.5 m. oil depth of oil 2.4 m 1.5 m
The tank is filled with oil of density 850 kg / m3 to a depth of 1.5 m.what is the force exerted by the oil on the base of the tank.

Answers

Answer:

45 000 N

Explanation:

[tex]pressure \: = \frac{force}{area} \\ density \times g \times height = \frac{force}{area} \\ (850)(9.81)(1.5) = \frac{force}{(2.4)(1.5)} \\ force \: = 45000n \: (3sf)[/tex]

The pressure the oil exerts on the base of the tank is required.

The oil exerts a force of 45027.9 N on the base of the tank.

The dimensions of the tank base are 2.4 m by 1.5 m.

h = The height of the tank = 1.5 m

[tex]\rho[/tex] = Density of oil = [tex]850\ \text{kg/m}^3[/tex]

g = Acceleration due to gravity = [tex]9.81\ \text{m/s}^2[/tex]

F = Force

A = Area of base

Pressure is given by

[tex]P=\rho gh[/tex]

[tex]P=\dfrac{F}{A}[/tex]

So,

[tex]\rho gh=\dfrac{F}{A}\\\Rightarrow F=\rho ghA\\\Rightarrow F=850\times 9.81\times 1.5\times (2.4\times 1.5)\\\Rightarrow F=45027.9\ \text{N}[/tex]

Hence, the oil exerts a force of 45027.9 N on the base of the tank.

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How far does a car travel as it accelerates from rest to 24 m/s in 6 seconds?

Answers

Answer:

[tex] \boxed{\sf Distance \ travelled = 72 \ m} [/tex]

Given:

Initial velocity (u) = 0 m/s (Starts from rest)

Final velocity (v) = 24 m/s

Time taken (t) = 6 seconds

To Find:

Distance travelled by car (s)

Explanation:

From equation of motion of object moving with uniform acceleration in straight line we have:

[tex] \boxed{ \bold{s = (\frac{v + u}{2} )t}}[/tex]

By substituting value of v, u & t in the equation we get:

[tex] \sf \implies s = ( \frac{24 + 0}{2} ) \times 6 \\ \\ \sf \implies s = \frac{24}{2} \times 6 \\ \\ \sf \implies s = 12 \times 6 \\ \\ \sf \implies s = 72 \: m[/tex]

[tex] \therefore[/tex]

Distance travelled by car (s) = 72 m

What does the positive sign tell you about any vector
quantity ?

Answers

Answer:

With a vector, however, the sign simply tells you about the direction of the vector. If you're travelling with a velocity of 20 km/hr east, it means you're travelling east, and your speed is 20 km/hr.

Find the solution for X.
3. -20 = -4x – 6x

Answers

Answer:

x=2

Explanation:

-20 = -10x

divide by 10

-x = -2

cancel the -s

what law of motion is that representing ?

Answers

Explanation:

answer is the 3rd law of motion

I hope it will be helpful for you

please mark as brainest answer

thank you

A car accelerates from 12 m/s to 24 m/s in 6 seconds. Calculate its acceleration.

Answers

Answer:

[tex] \boxed{\sf Acceleration \ (a) = 2 \ m/s^2} [/tex]

Given:

Initial velocity (u) = 12 m/s

Final velocity (v) = 24 m/s

Time taken (t) = 6 seconds

To Find:

Acceleration (a) of the car

Explanation:

From equation of motion we have:

[tex] \boxed{ \bold{v = u + at}}[/tex]

By substituting value of v, u & t in the equation we get:

[tex] \sf \implies 24 = 12 + 6a \\ \\ \sf \implies 6a + 12 = 24 \\ \\ \sf \implies 6a = 24 - 12 \\ \\ \sf \implies 6a = 12 \\ \\ \sf \implies a = \frac{12}{6} \\ \\ \sf \implies a = 2 \: m {s}^{ - 2} [/tex]

[tex] \therefore[/tex]

Acceleration (a) of the car = 2 m/s²

Answer:

[tex] \boxed{ \bold{ \huge{ \boxed{ \sf{2 \: m \:/{s} \: ^{2}}}}}}[/tex]

Explanation:

Initial velocity ( u ) = 12 m/s

Final velocity ( v ) = 24 m/s

Time taken ( t ) = 6

Acceleration of the car = ?

Finding the acceleration

[tex] \boxed{ \sf{acceleration = \frac{v - \: u}{t}}} [/tex]

[tex] \longrightarrow{ \sf{acceleration = \frac{24 - 12}{6} }}[/tex]

[tex] \longrightarrow{ \sf{acceleration = \frac{12}{6}}} [/tex]

[tex] \longrightarrow{ \sf{acceleration = \: 2 \: m/ {s} \: ^{2} }}[/tex]

Hope I helped!

Best regards! :D

Question 1
10 pts
A hypotheses should only contain the independent variable.
True
False

Answers

Answer:

false

A hypothesis states a presumed relationship between two variables in a way that can be tested with empirical data. ... The cause is called the independent variable; and the effect is called the dependent variable.

A car is traveling at 6 m/s for 10 seconds How far does it travel

Answers

Answer:

[tex]\boxed {\tt 60 \ meters}[/tex]

Explanation:

Distance can be found by multiplying speed and time.

[tex]d=s*t[/tex]

The car travels 6 meters per second and the time is 10 seconds.

[tex]s= 6 \ m/s\\t=10 \ s[/tex]

Substitute the values into the formula.

[tex]d= 6 \ m/s * 10 \ s[/tex]

Multiply. Note that the seconds, or "s" will cancel out.

[tex]d= 6 \ m * 10[/tex]

[tex]d= 60 \ m[/tex]

The car travels 60 meters.

Answer:
1m Up + 5m Left + 2m Down

Answers

oh ok that is v cool

Answer:

4m

Explanation:

because 1+5 is 6 +2 down is 4

Which of the following is a unit of density?

Answers

Answer:

kilogram per

Explanation:

the diameter of a water molecule is 0.000000000275 m. how can this number be expressed in scientific notation.

Answers

Answer:

2.75 × e10

put the decimal in front of the first real number. put e to however many spaces from the original

The diameter of a water molecule is 0.000000000275 m, it can be expressed as 2.75 x [tex]10^{-10[/tex] m.

A water molecule has a diameter of 0.000000000275 m, which corresponds to 2.75 x [tex]10^{-10[/tex] m in scientific notation.

Numbers are stated in scientific notation as a coefficient, which is a number between 1 and 10, multiplied by a power of 10. The power of 10 in this situation is -10, and the coefficient is 2.75.

The number is incredibly small since the exponent is negative, which means the decimal point is 10 places to the left.

Extremely big or small numbers are frequently represented more compactly and clearly using scientific notation, which makes it simpler to work with and compare such quantities.

Thus, this can be expressed as 2.75 x [tex]10^{-10[/tex].

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1. A toy car is marked to go at 0.5m/s, which of the following sets of
experimental numbers stay precise? *
a. 1.5m/s, 0.9m/s, 0.8m/s, 1.1m/s
O b. 0.6m/s, 0.7m/s, 0.61m/s, 0.62m/s
c. 2.1 m/s, 2.0m/s, 2.03m/s, 2.4m/s
d. 3.1m/s, 3.0m/s, 2.9m/s, 3.0m/s

Answers

Answer:

b. 0.6m/s, 0.7m/s, 0.61m/s, 0.62m/s

Explanation:

Precision of a measurement is the closeness of the experimental values to one another. Hence, experimental measurements are said to be precise if they are close to each other irrespective of how close they are to the accepted value. Precision can be determined by finding the range of each experimental value. The measurement with the LOWEST RANGE represents the MOST PRECISE.

Note: Range is the highest value - lowest value

Set A: 1.5 - 0.8 = 0.7

Set B: 0.7 - 0.6 = 0.1

Set C: 2.4 - 2.0 = 0.4

Set D: 3.1 - 2.9 = 0.2

Set B has the lowest range (0.1), hence, represent the most precise value.

13. Who named out seventh month?

Answers

Answer:

it was the gods of war.....

Answer:

juliest and august cesar

Explanation:

Calculate net force
532N 215N

Answers

Answer:

FN is the forces acting on a body. When the body is at rest, the net force formula is given by, FNet = Fa + Fg.

Im in 7th and thats all I know so I hope it's enough

1. Two students measure the length of the same object. One reports a length of 3 m, the other reports a
length of 10 m. Has one of them made a mistake? [ yes / no ] How do you know?

Answers

Answer:

yes

Explanation:

because they measure the length of the same object

How could rescue workers use squeezing or compressing to get energy to their flashlights during rescue missions?

Answers

Answer:

Explanation:

During rescue missions, different types of energy can be devices for flashlight, this could be human powered energy such as squeezing or compressing. In flashlight electrical energy is converted to light and thermal energy.

A squeezing or compressing to get energy for flashlight can be regarded as "DYNAMO PROCESS" it involves spinning of "fly wheels" into the flashlight through consistent squeezing ,which is connected to a dynamo(Dynamo supply electrical current). Hence the needed light is seen on the bulb of the flashlight.

A squeeze flashlight or dyno torch is a form of mechanically powered flashlight that produces energy through the rotation of flywheel which then turns a dynamo or generator that powers an attached light emitting diode, LED or incandescent bulb when electric current is generated

Where there is need for artificial light, where direct electric power is not available, such as during a rescue operation, rescue workers can produce illumination by continuously pumping the dyno torch during the mission. The squeezing action causes the flywheel to turn, with the turning made to occur between each squeeze, by the flywheel. The rotational energy from the flywheel turns the generator, which produces steady lighting

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Define limiting friction.​

Answers

The maximum friction that can be generated between two static surfaces in contact with each other. Once a force applied to the two surfaces exceeds the limiting friction, motion will occur. For two dry surfaces, the limiting friction is a product of the normal reaction force and the coefficient of limiting friction.

Answer:

Maximum value of static friction between two surfaces in contact is called Limiting friction. Limiting friction is directly proportional to the normal reaction between the surfaces in contact. Limiting friction can adjust itself to nullify the external force.

hope it helps......

How did the Planck mission help scientists learn about the age of the universe

Answers

Answer:

By using observations from the Atacama Cosmology Telescope (ACT) in Chile, the new findings match the measurements of the Planck satellite data of the same ancient light.

Explanation:

All of the following are job duties an industrial/organizational psychologist may perform except
A. increasing job productivity
B. creating business products
C. improving business processes
D. consulting management

Answers

Answer:

B. creating business products

Explanation:

All of the following are job duties an industrial/organizational psychologist may perform except B. creating business products

The creation of business products is the one task that an industrial/organizational psychologist cannot accomplish, hence option B is the appropriate response.

What is psychology?

Psychology is the name given to the scientific study of the mind and behavior. Psychiatrists are engaged in an ongoing study to better understand the mind, brain, and personality.

the psychological schools of thought known as biological, psychodynamic, behavioral, cognitive, and humanistic.

The business and productivity facets of psychology are covered in industrial/organizational psychology.

Within a company organization, an industrial/organizational psychologist carries out a variety of tasks including boosting employee productivity, enhancing business operations, and offering management advice.

An industrial/organizational psychologist does not create the company product.

Thus, with the exception of developing business products, all of the following are tasks that an industrial/organizational psychologist may carry out. Option B is the best response.

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Fossils are dated using radioactive...

a. hydrogen
b. helium
c. carbon

Answers

Answer:

carbon

Explanation:

Answer:

fossils are dated using radioactive C. carbon

Explanation:

hope this helps!

What does the independent variable do? ​

Answers

Answer:

The independent variable is what you, the scientist, changes, and it causes the dependent variable to change.

Explanation:

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