Motion Exploration with Velocity Versus Time Graphs

a. Which of these graphs shows an acceleration of zero?

Choose the correct graph that represents zero acceleration:

• Graph 1
• Graph 2
• Graph 3
• Graph 4

b. Which of the graphs shows constant acceleration?

Identify the graph that demonstrates constant acceleration:

• Graph 1
• Graph 2
• Graph 3
• Graph 4

c. Which graph shows the smallest amount of distance traveled?

Select the graph that indicates the smallest distance covered:

• Graph 1
• Graph 2
• Graph 3
• Graph 4

d. Which of these graphs would not create a curved distance versus time graph?

Choose the graph that would not result in a curved distance versus time graph:

• Graph 1
• Graph 2
• Graph 3
• Graph 4

e. Which graph shows the greatest average acceleration?

Pick the graph with the highest average acceleration:

• Graph 1
• Graph 2
• Graph 3
• Graph 4

f. Which of the graphs most likely represents motion with an acceleration in the same direction as the velocity?

Choose the graph that likely showcases motion with acceleration in the same direction as velocity:

• Graph 1
• Graph 2
• Graph 3
• Graph 4

Final Answers:

a. Graph 1 shows an acceleration of zero.

b. Graph 2 shows constant acceleration.

c. Graph 3 shows the smallest amount of distance traveled.

d. Graph 1 would not create a curved distance versus time graph.

e. Graph 4 shows the greatest average acceleration.

f. Graph 2 most likely represents motion with an acceleration in the same direction as the velocity.

Graph 1 depicts a constant velocity, indicating zero acceleration. A constant velocity signifies no change in speed or direction, which implies zero acceleration.

Graph 2 exhibits a straight line, indicating a constant and consistent change in velocity over time. The linear slope denotes constant acceleration, as the velocity consistently increases or decreases at the same rate.

Graph 3 shows minimal change in velocity over time, suggesting the smallest distance traveled. The nearly horizontal line indicates negligible movement, hence the smallest overall distance covered.

Graph 1, depicting constant velocity, would not create a curved distance versus time graph. With constant velocity, the distance covered would increase steadily without curvature.

Graph 4 displays the steepest slope, representing the most rapid change in velocity over time. The steepness of the graph signifies greater acceleration on average compared to the other graphs.

Graph 2 likely represents motion with acceleration in the same direction as the velocity. Its upward slope indicates both velocity and acceleration are positive, implying motion in the same direction.