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WAEC Further Mathematics 2023 Question 27

Question 27

Dynamics

The distance S metres moved by a body in t seconds is given by S = 5t3 − (19/2)t2 + 6t − 4. Calculate the acceleration of the body after 2 seconds.

  1. A.19 ms−2
  2. B.21 ms−2
  3. C.31 ms−2
  4. D.41 ms−2
Show the answer and explanation

Answer: D (41 ms−2)

Explanation

v = 15t² − 19t + 6 and a = 30t − 19. At t = 2, a = 41 ms⁻².