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Question

A ball is thrown with a velocity of 40 m/s at an angle of 60° with the horizontal from a point A on the ground. A boy simultaneously starts from A to move a constant velocity v such that the ball is always overhead the boy. Then value of v is

A
10 m/s
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B
20 m/s
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C
30 m/s
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D
40 m/s
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Solution

The correct option is B 20 m/s
Horizontal component of velocity of ball, Vh=40cos60°=20 m/s
For ball to remain always overhead the boy, relative velocity of ball in horizontal direction w.r.t the boy i.e. (Vhb)should be zero.
Vhb=VhVb
0=40cos60°vv=20 m/s

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