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To win the game, a place kicker must kick a football from a point 47 m (51.3992 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 24 m/s at an angle of 35.6 ◦ 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.

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