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Question

A ball is released from the top of a tower of height h metres. It takes T seconds to reach the ground. What is the position of the ball at T/3 second?

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Solution

the acceleration of the ball will be g. Initial velocity will be 0.

in T sec. body travels h mts.

by applying equations of motion we get

s= ut +1/2gT2

h = 1/2gT2 ------[1]

in T/3 sec h1 = 1/2gT2/9 -------[2]

from [1] and [2] we get h1 =h/9 distance from point of release.

therefore distance from ground is h-h/9 =8h/9

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