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A body falls freely under gravity (g = 9.8ms-2) from a height of 40m on...

Physics
JAMB 1981

A body falls freely under gravity (g = 9.8ms-2) from a height of 40m on to the top of a platform 0.8m above the ground. Its velocity on reaching the platform is

  • A. 784ms-1
  • B. 80ms-1
  • C. 78.4ms-1
  • D. 39.2ms-1
  • E. 27.7ms-1
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Correct Answer: Option E
Explanation

The total distance fallen is s = 40m - 0.8m = 39.2m

u = 0m/s, v = ? , g = 9.8m/s\(^2\)

Using: v\(^2\) = u\(^2\) + 2gs

v\(^2\) = 0 + 2 x 9.8 x 39.2

v\(^2\) = 768.32

v = \(\sqrt{768.32}\) ≈ 27.7m/s.


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