# 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? - Science and Technology 1

Numerical

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 "t" + 1/2 "g"(5)^2

∴ 5 = 1/2 "g" xx 25

∴ g = 2/5

∴ g = 0.4 m/s

The gravitational acceleration of the planet is 0.4 m/s2.

Concept: Free Fall - To Calculate the Value of G
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