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WAEC Further Mathematics 2018 Question 38

Question 38

Dynamics

A particle starts from rest and moves through a distance S = 12t2 − 2t3 metres in time t seconds. Find its acceleration in 1 second.

  1. A.24 ms−2
  2. B.18 ms−2
  3. C.12 ms−2
  4. D.10 ms−2
Show the answer and explanation

Answer: C (12 ms−2)

Explanation

v = 24t − 6t² and a = 24 − 12t; at t = 1, a = 12 ms⁻².