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WAEC Further Mathematics 2011 Question 35

Question 35

Dynamics

A particle starts from rest and moves in a straight line such that its velocity, V, at time t seconds is given by v = (3t2 − 2t)ms−1. Calculate the distance covered in the first 2 seconds.

  1. A.2m
  2. B.4m
  3. C.6m
  4. D.8m
Show the answer and explanation

Answer: B (4m)

Explanation

s = ∫v dt = t3 − t2 (s = 0 at t = 0). At t = 2: s = 8 − 4 = 4 m.