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Motion and Forces

Acceleration and the equation v squared minus u squared

  • 3 things to know
  • Paper 1

Overview

The acceleration equation and its unit, calculating acceleration, deceleration, final velocity and time, and using (final velocity)² − (initial velocity)² = 2 × acceleration × distance to find speeds, decelerations and distances.

What you need to know

Answer each one before you reveal it.

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Numbers

State in words the equation used to calculate acceleration.

Key term

State the unit of acceleration.

Numbers

A car speeds up from 4 m/s to 24 m/s in 5 s. Calculate its acceleration.

Questions from this subtopic

Each one with the model answer underneath.

  1. 1

    State in words the equation used to calculate acceleration.

    Model answer

    Acceleration = change in velocity ÷ time taken.

  2. 2

    State the unit of acceleration.

    Model answer

    Acceleration is measured in metres per second squared, m/s².

  3. 3

    A car speeds up from 4 m/s to 24 m/s in 5 s. Calculate its acceleration.

    Model answer

    (24 − 4) ÷ 5 = 4 m/s².

  4. 4

    A cyclist slows from 12 m/s to 3 m/s in 6 s. Calculate the acceleration.

    Model answer

    (3 − 12) ÷ 6 = −1.5 m/s², a deceleration of 1.5 m/s².

  5. 5

    What does a negative value of acceleration tell you about an object?

    Model answer

    It means the object is slowing down, which is a deceleration.

  6. 6

    A train starts from rest and accelerates at 0.5 m/s² for 40 s. Calculate its final velocity.

    Model answer

    0.5 × 40 = 20 m/s.

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