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Question

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
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B
Yes, 30
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C
No
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D
Yes, 45
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Solution

The correct option is A Yes, 60
Initial velocity of the ball =v0
Horizontal component of velocity of the ball =v0cosθ
Person will be able to catch the ball if his velocity is the same as the horizontal component of velocity of the ball.
i.ev02=v0cosθcosθ=12θ=60

Angle of projection of the ball must be 60 if the person has to catch the ball.

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