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AP Physics 1 · Unit 1 · Kinematics

Constant Velocity Graphs Practice Problems

Turn position–time and velocity–time graphs into descriptions of motion. Work through straight-line traces, stops, return journeys, and two carts sharing a track coordinate.

12 questions6 conceptual · 6 calculation

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Simulation scene from the Constant Velocity Graphs lesson.Open interactive practice
A scene from the related lesson. Open the practice to work through the questions.

What you’ll practice

Read the motion behind the line

Interpret a position graph

Use slope to find velocity. Distinguish a cart’s location from its direction, and recognize a stop from a horizontal trace.

Use velocity graphs

Read constant positive or negative velocity and calculate displacement from the area over a selected time interval.

Compare trips and meetings

Analyze routes with pauses and reversals. Find when two carts occupy the same position and explain what a graph intersection means.

A question from this set

A line rising on a position graph

Which description matches the straight rising line on this position–time graph?

  • The cart moves uphill along the drawn line.
  • The cart moves right at constant velocity.
  • The cart speeds up because the plotted position gets larger.
Try it in the practice set
Given position–time graphHorizontal axis: time in seconds. Vertical axis: x in m. Cart: at 0 seconds, 0 m; at 4 seconds, 8 m-2024681001234x (m)t (s)
The actual given position–time graph from this question.

Key ideas

A graph describes motion through time

Slope gives velocity

On a position–time graph, velocity is the change in position divided by the elapsed time. A straight line has constant slope, even when its plotted positions increase.

Graph height and graph slope answer different questions

A higher position trace means a larger coordinate. A steeper position trace means a larger velocity magnitude. On a velocity–time graph, the height itself gives velocity.

See the physics

Compare a given graph with a moving cart

After checking a response, run the prepared trip. Compare the cart’s position and direction with the given graph and recorded motion. Later questions use stops, negative velocity, and two-cart comparisons.

Use a hint for a starting point or open a worked solution to follow the reasoning. Your progress saves in this browser, so you can return to unfinished questions.

Ready for constant velocity graphs?

Begin with a conceptual question, then work through the calculations.

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