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Mechanics

Displacement-time and velocity-time graphs

  • 3 things to know
  • Papers 1 and 3

Overview

Recall questions on what the gradients and areas of motion graphs represent, reading instantaneous velocity from a curve, and recognising non-uniform acceleration.

What you need to know

Answer each one before you reveal it.

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Numbers

Which equation of motion omits time, and what do the gradients of displacement-time and velocity-time graphs give?

Numbers

How are instantaneous velocity, average velocity and displacement read from motion graphs?

Numbers

What does a negative displacement-time gradient mean, and how is distance found when a velocity-time graph drops below the axis?

Questions from this subtopic

Each one with the model answer underneath.

  1. 1

    What physical quantity is given by the gradient of a displacement-time graph?

    Model answer

    The gradient gives the velocity.

  2. 2

    What physical quantity is given by the gradient of a velocity-time graph?

    Model answer

    The gradient gives the acceleration.

  3. 3

    What does the area between a velocity-time graph and the time axis represent?

    Model answer

    It represents the displacement of the object.

  4. 4

    What does the area under an acceleration-time graph represent?

    Model answer

    It represents the change in velocity.

  5. 5

    How do you find the instantaneous velocity at a point on a curved displacement-time graph?

    Model answer

    Find the gradient of the tangent to the curve at that point.

  6. 6

    How does the average velocity over an interval appear on a displacement-time graph?

    Model answer

    It is the gradient of the straight chord joining the two ends of that interval.

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