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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

Let the ball be projected at an angle θ with the horizontal. The horizontal component of its velocity.v0cos⁡θ=v0/2  or  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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