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Motion and Forces

Velocity-time graphs and free fall

  • 3 things to know
  • Paper 5

Overview

What the gradient and the area under a velocity–time graph give, reading acceleration and deceleration from the line, the 10 m/s² acceleration of free fall, and straight-line graphs of the form y = mx + c, with v = u + at as an example.

What you need to know

Answer each one before you reveal it.

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Key term

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

Key term

Two straight lines on the same velocity–time graph have different gradients. Which line shows the greater acceleration?

Numbers

A velocity–time graph line rises steadily from 0 m/s to 18 m/s in 6 s. Calculate the acceleration.

Questions from this subtopic

Each one with the model answer underneath.

  1. 1

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

    Model answer

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

  2. 2

    What does the area between the line of a velocity–time graph and the time axis represent?

    Model answer

    That area gives the distance travelled.

  3. 3

    What does a horizontal line on a velocity–time graph show?

    Model answer

    It shows constant velocity, so the acceleration is zero.

  4. 4

    Two straight lines on the same velocity–time graph have different gradients. Which line shows the greater acceleration?

    Model answer

    The steeper line shows the greater acceleration.

  5. 5

    What does a line sloping downwards on a velocity–time graph show?

    Model answer

    It shows the object is decelerating, because its velocity is falling.

  6. 6

    A velocity–time graph line rises steadily from 0 m/s to 18 m/s in 6 s. Calculate the acceleration.

    Model answer

    18 ÷ 6 = 3 m/s².

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