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Question

If a ball is thrown vertically upwards from the ground with some initial velocity 'u' , and the body attains some height with time 't' .
Will the ball take the same time 't' to touch the ground though the acceleration due to gravity is always downwards?
Give reason for your answer.

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Solution

No, the ball will not take the same time 't'

Look, as the ball is vertically thrown upward. The force of gravity is continued to act downwards so there is a downward force which cause a downward acceleration and as the speed of the ball is continued to decreased due to the deacceleration (because the acceleration is in opposite direction) so at maximum height its velocity or speed is zero.

But it continue to have a downward acceleration of 9.81m/s^2 during its journey.

so the ball will reach the ground in less than time 't'

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