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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 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?

Options

A.yes, 60o
B.yes, 30o
C.no
D.yes, 45o

Solution

For the person to be able to catch the ball, the horizontal component of the velocity of the ball should be same as the speed of the person.
v0 cos θ =
⇒     θ = 60o 

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