Question 1

A car moves with a constant velocity of $$+4\,\mathrm{m/s}$$ for $$3\,\mathrm{s}. $$What is the car's displacement during this time interval?

Accepted Answer

$$+12\,\mathrm{m}$$

Question 2

Which of the following best describes the shape of a position vs. time graph for an object moving with constant acceleration?

Accepted Answer

A parabolic curve

Question 3

A ball is thrown straight up with an initial velocity of $$+10\,\mathrm{m/s}. $$Ignoring air resistance, what is the velocity of the ball when it returns to its starting height?

Accepted Answer

$$-10\,\mathrm{m/s}$$

Question 4

Which kinematic equation would you use to solve for displacement $$\Delta x$$ when you know initial velocity $$v_{i}$$, acceleration $$a$$, and time $$t$$?

Accepted Answer

$$\Delta x = v_{i} t + \frac{1}{2} a t^2$

Question 5

A car traveling at $$20\,\mathrm{m/s}$$ comes to a stop with a constant acceleration of $$-4\,\mathrm{m/s^2$}. $$How far does the car travel before stopping?

Accepted Answer

$$50\,\mathrm{m}$$

Question 6

On a velocity vs. time graph, what does the area under the curve represent?

Accepted Answer

Displacement

Question 7

A rock is dropped from rest from a cliff. How long does it take to fall $$45\,\mathrm{m}$$? (Use $$g = 9.8\,\mathrm{m/s^2$})$$

Accepted Answer

$$3.03\,\mathrm{s}$$

Question 8

Which of the following statements is true for an object in free fall (neglecting air resistance)?

Accepted Answer

The acceleration is constant and directed downward.

Question 9

A cyclist starts from rest and accelerates at $$2\,\mathrm{m/s^2$}$$ for $$5\,\mathrm{s}. $$What is the final velocity?

Accepted Answer

$$10\,\mathrm{m/s}$$

Question 10

A train moves with a constant velocity. Which of the following is true about its acceleration and velocity graphs?

Accepted Answer

The velocity graph is a horizontal line; the acceleration graph is a line at zero.

Question 11

A ball is thrown downward from a tall building with an initial velocity of $$-5\,\mathrm{m/s}. $$What is the velocity after $$2\,\mathrm{s}$$? (Take downward as negative, $$g = 9.8\,\mathrm{m/s^2$})$$

Accepted Answer

$$-24.6\,\mathrm{m/s}$$

Question 12

Which of the following is the correct kinematic equation to use when time is not known, but initial and final velocities and acceleration are given?

Accepted Answer

$$v_{f}^2 = v_{i}^2 + 2 a \Delta x$$

Question 13

A runner accelerates from $$2\,\mathrm{m/s} to$$ $$8\,\mathrm{m/s} in$$ $$3\,\mathrm{s}. $$What is the average acceleration?

Accepted Answer

$$2\,\mathrm{m/s^2$}$$

Question 14

A position vs. time graph shows a straight line with a negative slope. What does this indicate about the object's motion?

Accepted Answer

The object is moving at constant velocity in the negative direction.

Question 15

A car starts from rest and travels $$100\,\mathrm{m} in$$ $$5\,\mathrm{s}$$ with constant acceleration. What is the acceleration?

Accepted Answer

$$8\,\mathrm{m/s^2$}$$

Question 16

If an object’s velocity vs. time graph is a straight line with a positive slope, what can you say about its acceleration?

Accepted Answer

The object has constant positive acceleration.

Question 17

A person throws a ball straight up from the edge of a $$20\,\mathrm{m}$$ high building with an initial velocity of $$+10\,\mathrm{m/s}. $$How long does it take for the ball to hit the ground? (Use $$g = 9.8\,\mathrm{m/s^2$})$$

Accepted Answer

$$3.19\,\mathrm{s}$$

Question 18

Which of the following best describes the motion of an object whose velocity vs. time graph is a horizontal line below the time axis?

Accepted Answer

The object moves at constant velocity in the negative direction.

Question 19

A car accelerates uniformly from $$5\,\mathrm{m/s} to$$ $$25\,\mathrm{m/s}$$ over a distance of $$60\,\mathrm{m}. $$What is the acceleration?

Accepted Answer

$$5\,\mathrm{m/s^2$}$$

Kinematic Equations of Motion: Concepts, Graphs, and Applications

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