4MA1/1H Jun 2019, Question 24: The Second Derivative
Pearson Edexcel International GCSE Mathematics A 4MA1 · Paper 1H (Higher) · Calculator · 4 marks
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The question, in short
A particle P moves on a straight line through fixed point O, with displacement s = t³ − 6t² + 5t − 4 metres at time t seconds. Find t when acceleration is 3 m/s².
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Solution · 4 marks
- 1Velocity v = ds/dt = 3t² − 12t + 5
- 2Acceleration a = dv/dt = 6t − 12
- 36t − 12 = 3, so 6t = 15 and t = 2.5
Answer2.5
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