Q: Refer to the position vs. time graph (first image). During which time interval is the object at rest?

$$10\ \text{s} \leq t \leq 20\ \text{s}$$

Q: Given the velocity vs. time graph (fourth image), during which time interval is the object moving at constant velocity?

$$4\ \text{s} \u003c t \u003c 7\ \text{s}$$

Question 1

Refer to the position vs. time graph (first image). During which time interval is the object at rest?

Accepted Answer

$$10\ 	ext{s} \leq t \leq 20\ 	ext{s}$$

Question 2

Based on the position vs. time graph (first image), what is the total displacement of the object from $$t = 0 s to$$ $$t = 55 s$$?

Accepted Answer

$$0\ 	ext{m}$$

Question 3

From the position vs. time graph (first image), what is the average velocity of the object between $$t = 0 s $$and $$t = 10 s$$?

Accepted Answer

$$6\ 	ext{m/s}$$

Question 4

Refer to the velocity vs. time graph (fourth image). What is the acceleration of the object between $$t = 0 s $$and $$t = 4 s$$?

Accepted Answer

$$2\ 	ext{m/s}^2$$

Question 5

Using the velocity vs. time graph (fourth image), what is the total displacement of the object from $$t = 0 s to$$ $$t = 10 s$$?

Accepted Answer

$$40\ 	ext{m}$$

Question 6

In the scenario with the car and truck (second image), which of the following best describes the velocity-time graph for the car?

Accepted Answer

A horizontal line starting at $$v = 0$$ and increasing linearly with time

Question 7

In the car and truck scenario (second image), what is the velocity of the truck as a function of time?

Accepted Answer

Constant and positive for all $$t \u003e 0$$

Question 8

For the car and truck scenario (second image), at the instant the car catches up to the truck, which of the following is true?

Accepted Answer

The positions of the car and truck are equal

Question 9

Given the velocity vs. time graph (fourth image), during which time interval is the object moving at constant velocity?

Accepted Answer

$$4\ 	ext{s} \u003c t \u003c 7\ 	ext{s}$$

Question 10

Using the velocity vs. time graph (fourth image), what is the acceleration of the object between $$t = 7 s $$and $$t = 10 s$$?

Accepted Answer

$$-3\ 	ext{m/s}^2$$

Question 11

Refer to the position vs. time graph (first image). What is the distance traveled by the object from $$t = 0 s to$$ $$t = 55 s$$?

Accepted Answer

$$140\ 	ext{m}$$

Question 12

In the car and truck scenario (second image), if the car starts from rest and the truck moves at $$v_t$$, what is the minimum acceleration $$a$$ required for the car to catch up to the truck at position $$x = D$$?

Accepted Answer

$$a = \dfrac{2 v_t^2$}{D}$$

Study Guide: 1-Dimensional Motion, Position-Time & Velocity-Time Graphs

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