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(C) For the person to catch the ball,the horizontal component of the ball's velocity must be equal to the constant speed of the person.This ensures th

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Yes,$60^o$

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(C) For the person to catch the ball,the horizontal component of the ball's velocity must be equal to the constant speed of the person.This ensures that the ball remains directly above the person throughout the flight,meaning the ball's motion relative to the person is purely vertical.Equating the horizontal velocity of the ball to the speed of the person:$v_0 \cos 	heta = \frac{v_0}{2}$Dividing both sides by $v_0$:$\cos 	heta = \frac{1}{2}$Therefore,$	heta = \cos^{-1}(\frac{1}{2}) = 60^o$.Thus,the person will be able to catch the ball if the angle of projection is $60^o$.

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