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.v0cosθ=v0/2 or θ=60∘