Question 1

The velocity vs. time graph above shows a car moving at a constant velocity for the first 10 seconds, then decelerating to rest by 20 seconds. What is the average acceleration of the car between $$t = 10\ \mathrm{s}$$ and $$t = 20\ \mathrm{s}$$?

Accepted Answer

$$a_{avg} = \frac{0 - 30}{20 - 10} = -3\ \mathrm{m/s^2$}$$

Question 2

Refer to the position vs. time graph (solid and dashed lines) above. At what time do both objects have the same position?

Accepted Answer

$$t = 5\ \mathrm{s}$$

Question 3

For the position vs. time graph of two trains (A and B) above, which of the following statements is true?

Accepted Answer

Both trains have the same velocity at some time before $$t_B.$$

Question 4

For the position vs. time graph of two trains (A and B) above, which of the following is FALSE?

Accepted Answer

The trains are never at the same location at the same time.

Question 5

The position vs. time graph above shows a student walking along a track. What is the sign of the acceleration at $$t = 6\ \mathrm{s}$$?

Accepted Answer

Negative

Question 6

At which point on the position vs. time graph above does the object have the greatest speed?

Accepted Answer

C

Question 7

Refer to the diagram of Student 1 and Student 2 above. What is the displacement of each student after $$4\ \mathrm{s}$$?

Accepted Answer

Student 1: $$8\ \mathrm{m}$$, Student 2: $$-16\ \mathrm{m}$$

Question 8

Given the velocity vs. time graphs for Ann, Tess, and Mary above, who ran the furthest in 4 seconds?

Accepted Answer

Mary

Question 9

For the velocity vs. time graph above (with segments A, B, C, D), what is the total displacement of the object from $$t = 0 to$$ $$t = 10\ \mathrm{s}$$?

Accepted Answer

$$10\ \mathrm{m}$$

Question 10

Given the velocity vs. time graph above (with three segments), which acceleration vs. time graph best matches the motion?

Accepted Answer

A (first segment: $$2\ \mathrm{m/s^2$}$$, middle: $$0$$, last: $$-2\ \mathrm{m/s^2$})$$

Question 11

The position vs. time graph above shows a student’s motion. What is the student’s displacement and total distance traveled from $$t = 0\ \mathrm{s} to$$ $$t = 12\ \mathrm{s}$$?

Accepted Answer

Displacement = $$2\ \mathrm{m}$$, Distance = $$10\ \mathrm{m}$$

Question 12

Refer to the velocity vs. time graph with regions I, II, III, IV. In which region is the object moving to the right and slowing down?

Accepted Answer

Region IV

Physics with Calculus: Kinematics, Graphs, and Proportionality Study Guide

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