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to win the game, a place kicker must kick a football from a point 45 m (49.212 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 32.6 ◦ 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.

In order to win the game of football, player has to kick the ball at a distance of 45 m from the goal which must cross the bar at 3.05 m of height. The vertical distance by which the ball clears the cross bar is 1.65 metres.

1.65 metre

Explanation:

Given, velocity = 24 m/s, angle of projectile= 32.6 degrees and acceleration = 9.8

To know the height, we first need to know the velocity component,

The time travelled by the ball =

From the equation of motion,

              =

= 4.7 m.

Therefore, the vertical distance by which all ball clears the cross bar = ball height – cross bar height  =  4.7 – 3.05 = 1.65 metre.