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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