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Question

A stone isreleased from the top of a tower of height 19.6 m. Calculate itsfinal velocity just before touching the ground.

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Solution

Accordingto the equation of motion under gravity:

v2− u2= 2 gs

Where,

u= Initial velocity of the stone = 0

v= Final velocity of the stone

s= Height of the stone = 19.6 m

g =Acceleration due to gravity = 9.8 m s−2

∴ v2− 02= 2 ×9.8 ×19.6

v2= 2 ×9.8 ×19.6 = (19.6)2

v= 19.6 m s− 1

Hence,the velocity of the stone just before touching the ground is 19.6 ms−1.


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