Kinematics Question 513
A particle is projected from point $ O $ with velocity $ u $ in a direction making an angle $ \alpha $ with the horizontal. At any instant when its position is at point $ p $ at right angles to the initial direction of projection, its velocity at point $ p $ is
Options:
A) $ u\tan \alpha $
B) $ u\cot \alpha $
C) $ \sec\alpha $
D) $ u\sec \alpha $
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Answer:
Correct Answer: B
Solution:
Horizontal velocity at point ‘[O’=u cos$\alpha$
Horizontal velocity at point ‘P’=v cos $ \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 $
BETA
