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Questions  

A ball is thrown from a point with a speed v0 at an angle of projection θ. From the same point and at the same instant, a person starts running with a constant speed v0/2 to catch the ball. Will the person be able to catch the ball? If yes, what should be the angle of projection?

a
Yes, 60°
b
Yes, 30°
c
No
d
Yes, 45°

detailed solution

Correct option is A

For the person to be able to catch the ball, the horizontal component of velocity of the ball should be same as the speed of the person, i.e.,v0cos⁡θ=v02 of cos⁡θ=12  of  θ=60∘

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Assertion : When the velocity of projection of a body is made n times, its time of flight becomes n times.

Reason : Range of projectile does not depend on the initial velocity of a body.


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