A ball is thrown from a point with a speed $$'{v_0}\,'$$ at an elevation angle of $$\theta .$$ From the same point and at the same instant, a person starts running with a constant speed $$\frac{{'{v_0}\,'}}{2}$$ to catch the ball. Will the person be able to catch the ball ? If yes, what should be the angle of projection $$\theta $$ ?
A.
$$No$$
B.
$$Yes,{30^ \circ }$$
C.
$$Yes,{60^ \circ }$$
D.
$$Yes,{45^ \circ }$$
Answer :
$$Yes,{60^ \circ }$$
Solution :
Yes, the person can catch the ball when horizontal velocity is equal to the horizontal component of ball’s velocity, the motion of ball will be only in vertical direction with respect to person for that,
$$\frac{{{v_0}}}{2} = {v_0}\cos \theta \,\,{\text{or}}\,\,\theta = {60^ \circ }$$
Releted MCQ Question on Basic Physics >> Kinematics
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