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Classical Mechanics Level 3

Two soccer players on a breakaway start from midfield and run straight down the field with a separation of \(d=5~\mbox{m}\) and with the same velocity \(v= 7 ~\mbox{m/s}\). The last defensive player of the other team approaches the player who has the ball, so that person decides to pass the ball with velocity \(u=10~\mbox{m/s}\) to their teammate. At what angle in degrees with respect to their trajectory should they pass the ball so it reaches their teammate?

Details and assumptions

  • Assume the ball won't slow down as it travels on the pass.
  • The ball travels horizontally along the ground, not via projectile motion.

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