Kinematics Question 513

Question: A particle is projected from point $ O $ with velocity $ u $ in a direction making an angle $ \alpha $ with the horizontal. At any instant is position is at point $ p $ at right angles to the initial direction of projection, it’s velocity at point $ p $ it’s

Options:

A) $ u\tan \alpha $

B) $ u\cot \alpha $

C) $ ucosec\alpha $

D) $ u\sec \alpha $

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Answer:

Correct Answer: B

Solution:

[b] Horizontal velocity at point ‘[O’=u cos$ \alpha $

Horizontal velocity at point ‘P’=v sin $ \alpha $

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

$ \therefore v\sin \alpha =u\cos \alpha $

$ \Rightarrow v=u\cot \alpha $



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