$$v_{\text{ave}} = \frac{\Delta x}{\Delta t} = \frac{11\ \text{m}}{1.0\ \text{s}} = 11\ \text{m/s}$$

$$v_{\text{ave}} = \frac{x_2$ - x_1$}{t_2$ - t_1$}$$

Question 1

Based on the position vs. time graph shown, what is the average velocity between $$t = 3.0\ 	ext{s}$$ and $$t = 4.0\ 	ext{s}$$?

Accepted Answer

$$v_{	ext{ave}} = \frac{\Delta x}{\Delta t} = \frac{11\ 	ext{m}}{1.0\ 	ext{s}} = 11\ 	ext{m/s}$$

Question 2

What does the slope of the position vs. time graph represent?

Accepted Answer

The object's average velocity

Question 3

If the position vs. time graph is a straight line, what can be said about the object's velocity?

Accepted Answer

The velocity is constant

Question 4

If the position does not change over time (horizontal line on the graph), what is the object's velocity?

Accepted Answer

The velocity is zero

Question 5

Given the graph, what is the displacement between $$t = 3.0\ 	ext{s}$$ and $$t = 4.0\ 	ext{s}$$?

Accepted Answer

$$\Delta x = 11\ 	ext{m}$$

Question 6

If the slope of the position vs. time graph is negative, what does this indicate about the object's motion?

Accepted Answer

The object is moving in the opposite direction

Question 7

How would you calculate the average velocity between two points $$(t_1$, x_1$)$$ and $$(t_2$, x_2$) on a $$position vs. time graph?

Accepted Answer

$$v_{	ext{ave}} = \frac{x_2$ - x_1$}{t_2$ - t_1$}$$

Question 8

If the graph shows a constant slope, what does this imply about the acceleration?

Accepted Answer

The acceleration is zero

Question 9

If the position vs. time graph is curved upward, what does this indicate about the object's velocity?

Accepted Answer

The velocity is increasing

Question 10

If the position vs. time graph is curved downward, what does this indicate about the object's velocity?

Accepted Answer

The velocity is decreasing

Physics Study Guide: Chapters 1–5 (Kinematics, Vectors, and Motion)

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