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WAEC Further Mathematics 2022 Objective — Question 35

Question 35 of 40 from the West African Examinations Council (WAEC) Further Mathematics 2022 Objective paper, with the correct answer and a full explanation.

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

  • A. 0N
  • B. 2N
  • C. 3(2t+3)N
  • D. 6NCorrect

Explanation

Velocity = dd/dt = 2t+3. Acceleration = d²d/dt² = 2 (constant). Force F=ma=3×2=6N.

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