# Initial velocity of football

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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