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Projection Under uniform Acceleration

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?


 For the person to be able to catch the ball, the horizontal component of velocity of the ball should be same as the speed of the person, i.e.,
v0cosθ=v02 of cosθ=12  of  θ=60

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