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WAEC Further Mathematics 2015 Question 32

Question 32

Dynamics

A particle starts from rest and moves in a straight line such that its acceleration after t seconds is given by a = (3t − 2) ms−2. Find the distance covered after 3 seconds

  1. A.10 m
  2. B.9 m
  3. C.13/3 m
  4. D.9/2 m
Show the answer and explanation

Answer: D (9/2 m)

Explanation

s = ∫v dt = t³/2 − t² (s = 0 at t = 0). At t = 3: 27/2 − 9 = 9/2 m from the start.