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Question

A particle projected from point O with velocity u in a direction making an angle α with the horizontal. At any instant its position is at point P at right angles to the initial direction of projection. Its velocity at point O is


A

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B

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C

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D

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Solution

The correct option is B


Horizontal velocity at point 'O' = u cos α

Horizontal velocity at point 'P' = v sin α

In projectile motion horizontal component of velocity remains constant throughout the motion

v sin α=u cos α v=u cot α


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