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WAEC Further Mathematics 2009 Question 27

Question 27

Dynamics

The velocity, v ms−1 of a particle moving in a straight line given by v = 3t2 − 2t + 1 at time t seconds. Find the acceleration of the particle after 3 seconds.

  1. A.26ms−2
  2. B.18ms−2
  3. C.17ms−2
  4. D.16ms−2
Show the answer and explanation

Answer: D (16ms−2)

Explanation

a = dv/dt = 6t − 2. At t = 3, a = 18 − 2 = 16 ms−2.