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A force of 200N acting on a body of mass 20kg initially at rest causes...

Further Mathematics
WAEC 2011

A force of 200N acting on a body of mass 20kg initially at rest causes it to move a distance of 320m along a straight line for t secs. Find the value of t.

  • A. 4s
  • B. 6s
  • C. 8s
  • D. 10s
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Correct Answer: Option C
Explanation

F = ma

\(200 = 20a \implies a = 10m/s^{2}\)

\(s = ut + \frac{1}{2}at^{2}\)

\(320 = (0 \times t) + \frac{1}{2} 10t^{2}\)

\(320 = 5t^{2} \implies t^{2} = 64\)

\(t = 8secs\)


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