levo

Space, Time and Motion

Motion graphs

  • 3 things to know
  • Components 01, 02 and 03

Overview

Recall questions on the gradients of displacement–time and velocity–time graphs, the areas under velocity–time and acceleration–time graphs, graphs for constant velocity and uniform acceleration, tangents to curves, irregular areas and areas below the axis, a ball thrown upwards and caught, and a decreasing positive gradient.

What you need to know

Answer each one before you reveal it.

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Key term

What does the gradient of a displacement–time graph represent?

Key term

What does the gradient of a velocity–time graph represent?

Key term

What does the area under a velocity–time graph represent?

Questions from this subtopic

Each one with the model answer underneath.

  1. 1

    What does the gradient of a displacement–time graph represent?

    Model answer

    The gradient of a displacement–time graph is the velocity.

  2. 2

    What does the gradient of a velocity–time graph represent?

    Model answer

    The gradient of a velocity–time graph is the acceleration.

  3. 3

    What does the area under a velocity–time graph represent?

    Model answer

    The area between the line and the time axis is the displacement.

  4. 4

    Describe the displacement–time graph of a body moving at constant velocity.

    Model answer

    It is a straight line of constant gradient, sloping upwards for motion in the positive direction.

  5. 5

    Describe the displacement–time graph of a body accelerating uniformly from rest.

    Model answer

    It is a curve that starts at the origin with zero gradient and becomes steadily steeper.

  6. 6

    How is the instantaneous velocity found from a curved displacement–time graph?

    Model answer

    It is the gradient of the tangent drawn to the curve at that instant.

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