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A stone is dropped from a height of 45m. Find the time it takes to...

Further Mathematics
WAEC 2012

A stone is dropped from a height of 45m. Find the time it takes to hit the ground. \([g = 10 ms^{-2}]\)

  • A. 3.0 seconds
  • B. 4.5 seconds
  • C. 5.0 seconds
  • D. 9.0 seconds
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Correct Answer: Option A
Explanation

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

\(u = 0; s = 45m; g = 10ms^{-2}\)

\(45 = 0 + \frac{1}{2}(10)t^{2} = 5t^{2}\)

\(t^{2} = \frac{45}{5} = 9\)

\(t = 3.0s\)


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