A particle of mass 3kg moving along a straight line under the action of a...

FURTHER MATHEMATICS
WAEC 2022

A particle of mass 3kg moving along a straight line under the action of a F N, covers a line distance, d, at time, t, such that d = t\(^2\) + 3t. Find the magnitude of F at time t.

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

Correct Answer: D. 6N

Explanation

F = m * a

d = t\(^2\) + 3t.

a = \(\frac{d^2d}{dt^2}\)

\(\frac{d[d]}{dt}\) = 2t + 3

\(\frac{d^2d}{dt^2}\) = 2m/s\(^2\)

a = 2m/s\(^2\)

F = m * a

F = 3 × 2 = 6N



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