Velocity of Dropped Stone on Ground – Rankers Physics
Topic: Kinematics
Subtopic: Motion Under Gravity

Velocity of Dropped Stone on Ground

A boy standing at the top of a tower of \(20\text{ m}\text{ height drops a stone. Assuming } g = 10\text{ m/s}^2\text{, the velocity with which it hits the ground is:}\)

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10.0 m/s
20.0 m/s
40.0 m/s
5.0 m/s

Solution:

Concept: Free fall under gravity.
Formula: \(v^2 = u^2 + 2gh\).
Solution: Given \(u=0\) (dropped), \(h=20\text{ m}\,\text{ }g=10\text{ m/s}^2\). \(v^2 = 0^2 + 2(10)(20) = 400\). So, \(v = \sqrt{400} = 20\text{ m/s}\).

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