The kick!

A football, if it was kicked when initially at rest, is inflated such that it will move in the direction of the kick with \(h=0.8\) of the kicking foot's velocity.

We now consider the same ball being kicked while it's moving towards the football player's foot. Before the kick the ball moves towards the soccer player with velocity \(v=10~\mbox{m/s}\) and the player kicks the ball in the opposite direction with foot velocity \(u=5~\mbox{m/s}\).

What is the ball's speed after the kick in m/s?

Details and assumptions

  • All speeds in this problem (including the answer) should be with respect to the ground.

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