Question 1

Given a position vs. time graph with a constant positive slope, what does the corresponding velocity vs. time graph look like?

Accepted Answer

A horizontal line above the time axis, indicating constant positive velocity.

Question 2

If the velocity vs. time graph is a horizontal line at zero, what does the position vs. time graph look like?

Accepted Answer

A horizontal line, indicating the object is at rest.

Question 3

If the acceleration vs. time graph is a horizontal line at a nonzero value, what is the shape of the velocity vs. time graph?

Accepted Answer

A straight line with a nonzero slope, indicating constant acceleration.

Question 4

An object starts from rest and its velocity increases linearly with time. What is the corresponding position vs. time graph?

Accepted Answer

A parabola opening upwards, indicating increasing displacement.

Question 5

If the position vs. time graph is a horizontal line, what can you say about the velocity and acceleration?

Accepted Answer

Both velocity and acceleration are zero.

Question 6

A velocity vs. time graph shows a line with a negative slope. What does this indicate about the acceleration?

Accepted Answer

Acceleration is constant and negative.

Question 7

If the acceleration vs. time graph is a horizontal line at zero, what does the position vs. time graph look like for an object with initial velocity $$v_0$$?

Accepted Answer

A straight line with slope $$v_0.$$

Question 8

An object’s velocity vs. time graph is a curve that increases in steepness over time. What does this indicate about the acceleration?

Accepted Answer

Acceleration is increasing with time.

Question 9

A car’s position vs. time graph is a straight line with a negative slope. What does this tell you about the car’s motion?

Accepted Answer

The car is moving at a constant negative velocity.

Question 10

If the velocity vs. time graph is a horizontal line below the time axis, what is the corresponding position vs. time graph?

Accepted Answer

A straight line with a negative slope.

Question 11

A position vs. time graph shows a curve with decreasing slope. What does this indicate about the velocity and acceleration?

Accepted Answer

Velocity is decreasing, acceleration is negative.

Question 12

If the velocity vs. time graph is a horizontal line at $$v = 0$$, what is the area under the curve between $$t = 0$$ and $$t = 5$$ seconds?

Accepted Answer

$$0$$

Question 13

A runner’s velocity vs. time graph is a straight line with a positive slope. What is the runner’s acceleration?

Accepted Answer

Constant and positive.

Question 14

If the acceleration vs. time graph is a horizontal line at $$a = 0$$, and the initial velocity is zero, what is the position vs. time graph?

Accepted Answer

A horizontal line at $$x = 0.$$

Question 15

A cyclist’s position vs. time graph is a parabola opening upwards. What does this indicate about the cyclist’s acceleration?

Accepted Answer

Acceleration is constant and positive.

Question 16

If the velocity vs. time graph is a straight line with a negative slope, what is the area under the curve between $$t = 0$$ and $$t = T$$?

Accepted Answer

$$\frac{1}{2} v_0$ T$$

Question 17

A ball is thrown upward and its velocity vs. time graph is a straight line with a negative slope crossing the time axis. What does the position vs. time graph look like?

Accepted Answer

A parabola opening downwards.

Question 18

If the position vs. time graph is a curve with increasing slope, what does this indicate about the velocity and acceleration?

Accepted Answer

Velocity is increasing, acceleration is positive.

Question 19

A car’s acceleration vs. time graph is a horizontal line at $$a = -2 \ \mathrm{m/s^2$}$$, and its initial velocity is $$10 \ \mathrm{m/s}. $$What is the velocity after $$5$$ seconds?

Accepted Answer

$$0 \ \mathrm{m/s}$$

Question 20

If the velocity vs. time graph is a curve with decreasing slope, what does this indicate about the acceleration?

Accepted Answer

Acceleration is decreasing.

Motion Graphs in Kinematics: Position, Velocity, and Acceleration Relationships

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