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Q.

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 ?

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a

yes, 60∘

b

yes, 30∘

c

no

d

yes, 45∘

answer is A.

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Detailed Solution

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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