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Velocity-time tangent — acceleration

GCSE · Mathematics · Edexcel · R15 — Interpret gradient at a point on a curve as instantaneous rate of change

Question

Edexcel Paper 2H — Higher (QWC)

The velocity v (m/s) of a particle at time t (s) is shown as a curve. A tangent drawn at t = 5 passes through (1, 4) and (9, 24).

(a) Find the acceleration at t = 5. State the units. (3 marks) (b) Explain why the answer using a tangent is more accurate than using the chord between t = 0 and t = 10. (2 marks, QWC)

5 marks · take your time before peeking.

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