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To win the game, a place kicker must kick a football from a point 21 m (22.9656 yd) from the goal, and the ball must clear the crossbar, which is 3.05 m high. When kicked, the ball leaves the ground with a speed of 16 m/s at an angle of 55.3◦ from the horizontal. The acceleration of gravity is 9.8 m/s^2 By how much vertical distance does the ball clear the crossbar? Answer in units of m

Respuesta :

In projectile horizontal distance is given by :

[tex]h = \dfrac{u^2sin^ 2\theta}{2g}[/tex]

Putting all given values, we get :

[tex]h = \dfrac{u^2sin^ 2\theta}{2g}\\\\h=\dfrac{16^2\times sin^2 \ 55.3^o}{2\times 9.8}\\\\h=13.1\ m[/tex]

Therefore, maximum height of football is 13.1 m.

Hence, this is the required solution.

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