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WAEC Further Mathematics 2026 Question 33

Question 33

Dynamics

A particle moves in a plane such that its displacement, s, is given by s = (t3 + t2)i + (3t − 2)j. Find the velocity of the particle at t = 3 seconds.

  1. A.66i − 3j
  2. B.66i + 3j
  3. C.33i + 3j
  4. D.33i − 3j
Show the answer and explanation

Answer: C (33i + 3j)

Explanation

v = ds/dt = (3t² + 2t)i + 3j. At t = 3: (27 + 6)i + 3j = 33i + 3j.