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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

utan⁡α

b

ucot⁡α

c

ucosec⁡α

d

usec⁡α

answer is B.

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Detailed Solution

Horizontal velocity at point  ′O′=ucos⁡αHorizontal velocity at Point  ′P′=vsin⁡αIn projectile motion horizontal  component of velocity remains constant throughout the motion ∴     vsin⁡α=ucos⁡α⇒ v=ucot⁡α
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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