A stone is projected vertically with a speed of 10 m/s from a point 8

FURTHER MATHEMATICSWAEC 2009

A stone is projected vertically with a speed of 10 m/s from a point 8 metres above the ground. Find the maximum height reached. \([g = 10 ms^{-2}]\).

  • A. 13 metres
  • B. 15 metres
  • C. 18 metres
  • D. 23 metres

Correct Answer: A. 13 metres

Explanation

\(v^{2} = u^{2} + 2as\)

\(v^{2} = u^{2} - 2gs\)

\(0 = 10^{2} - 2(10)s \implies -100 = -20s\)

\(s = 5 m + 8 m = 13m\) (8m is the height from where it was thrown)

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