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WAEC Further Mathematics 2010 Question 22

Question 22

Dynamics

The distance in metres of a particle from a fixed point at time t seconds is given by s = 7 + pt3 + t2, where p is a constant. If the acceleration at t = 3 seconds is 8ms−2, find the value of p.

  1. A.1/3
  2. B.4/9
  3. C.5/9
  4. D.1
Show the answer and explanation

Answer: A (1/3)

Explanation

v = 3pt2 + 2t and a = 6pt + 2. At t = 3: 18p + 2 = 8, so p = 1/3.