GCSE Combined Science revision · Physics: forces, waves and magnetism

Acceleration and Newton's laws

The idea

Acceleration a = Δv ÷ t, in m/s². For uniform acceleration, v² − u² = 2as. Newton's first law: if the resultant force is zero, an object stays at rest or moves at constant velocity. Newton's second law: F = ma. Newton's third law: when two objects interact, they exert equal and opposite forces on each other. Near the Earth's surface a falling object accelerates at about 9.8 m/s² until air resistance builds up; at terminal velocity the resultant force is zero.

  1. Find the change in velocity.
  2. Use a = Δv ÷ t or F = ma.
  3. Check the resultant force for Newton's first law.

Watch out Newton's third law pairs act on different objects, so they do not cancel.

See it worked

Worked example

A car speeds up from 10 m/s to 25 m/s in 5 s. Calculate its acceleration.

  1. Δv = 25 − 10 = 15 m/s.
  2. a = 15 ÷ 5 = 3 m/s².

Answer 3 m/s²

Your turn

Question 1Calculator allowed2 marks

A resultant force of 1500 N acts on a 1200 kg car. What is its acceleration in m/s²?

Question 2Calculator allowed2 marks

A car accelerates uniformly from rest at 2 m/s² over 100 m. What is its final speed in m/s?

Question 3Calculator allowed1 mark

A skydiver falls at terminal velocity. The resultant force is:

Choose one

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Independent practice for AQA GCSE Combined Science: Trilogy (8464), not endorsed by AQA.

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