WAEC Further Mathematics 2025 Question 25

Question 25

Dynamics

The distance S in metres covered by a particle in t seconds is S = (7/2)t2 + 5t + 18. Find the acceleration of the particle.

  1. A.14 ms−2
  2. B.13 ms−2
  3. C.10 ms−2
  4. D.7 ms−2
Show the answer and explanation

Answer: D (7 ms−2)

Explanation

v = dS/dt = 7t + 5 and a = dv/dt = 7 ms⁻².