Initial velocity of football

Classical Mechanics Level 1

A football player punts a football so that it will have a ‘hang time’ (time of flight) of \( 4.5 \text{ s} \) and then land \( 46 \text{ m} \) away. If the ball leaves the player’s foot \( 150 \text{ cm} \) above the ground, what must be the magnitude of the ball’s initial velocity?

Details and Assumptions

  • The angle between the ball and ground at the moment of the punt kick is \(65°.\)
  • Gravitational acceleration is \(10 \text{ m/s}^{2}.\)

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