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Q.

A particle is 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 P is 

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a

usec⁡α

b

ucosec⁡α

c

ucot⁡α

d

utan⁡α

answer is B.

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Detailed Solution

Horizontal velocity at point  ′O′=ucos⁡α

Horizontal velocity at Point  ′P′=vsin⁡α

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

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∴     vsin⁡α=ucos⁡α⇒ v=ucot⁡α

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