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WAEC Further Mathematics 2022 Question 35

Question 35

Dynamics

A particle of mass 3 kg moving along a straight line under the action of a F N, covers a line distance, d, at time, t, such that d = t2 + 3t. Find the magnitude of F at time t.

  1. A.0 N
  2. B.2 N
  3. C.3(2t + 3) N
  4. D.6 N
Show the answer and explanation

Answer: D (6 N)

Explanation

v = 2t + 3 and a = 2 ms⁻², so F = ma = 3 × 2 = 6 N.