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Question
An object takes 5 s to reach the ground from a height of 5 m on a planet. What is the value of g on the planet?
Solution
Given: Time (t) = 5 s, height (s) = 5 m
To find: Gravitational acceleration (g)
Formula: s = ut + `1/2 "gt"^2`
Calculation: From formula,
5 = `0 xx 5 + 1/2 "g"(5)^2`
∴ `5 = 1/2 "g" xx 25`
∴ g = `2/5`
∴ g = 0.4 m/s2
The gravitational acceleration of the planet is 0.4 m/s2.
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