# So, that's why they love cricket

In a cricket match, a 2-meter-tall pace bowler throws a yorker ball with a horizontal velocity of $$20\text{ m/s}$$. The batsman hits the ball with twice the horizontal velocity of the ball at an angle of $${45}^\circ$$ with the horizontal. The ball lands just in front of a fielder, who kicks the ball with his foot at an angle of $${30}^\circ$$ with the horizontal in such a way that it lands just in front of the foot of the bowler. Find the velocity with which the fielder kicked the ball.

Details and Assumptions:

• The air friction is negligible.
• The positions of the batsman, bowler, and fielder are collinear and the batsman hits the ball in the collinear line.
• The bowler throws the ball by stretching his hand just above the top of his head.
• The bowler does not move from his position after releasing the ball from the crease line.
• Take $$g=10{\text{ m/s}}^2$$ the acceleration due to gravity.
• Round your answer $$($$in $$\text{m/s})$$ off to the nearest integer.
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