4MA1/1H Jun 2022, Question 17: Differentiating Polynomials
Pearson Edexcel International GCSE Mathematics A 4MA1 · Paper 1H (Higher) · Calculator · 5 marks
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The question, in short
Particle P moves on a line through fixed point O with displacement s = 4t² + 125/t for t ≥ 1. Find the distance of P from O when its velocity v is zero.
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Solution · 5 marks
- 1v = ds/dt = 8t − 125/t²
- 2v = 0: 8t = 125/t², so t³ = 125/8 and t = 2.5
- 3s = 4 × 2.5² + 125 ÷ 2.5 = 25 + 50
- 4s = 75
Answer75
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