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A place kicker must kick a football from a point 28.0 m (= 30.6 yd) from the goa

ID: 2164144 • Letter: A

Question

A place kicker must kick a football from a point 28.0 m (= 30.6 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 18.9 m/s at an angle of 49.0o to the horizontal. By how much does the ball clear the crossbar (if in fact it does)? Enter positive values if the ball clears and negative values if it falls below the crossbar.


What is the vertical velocity of the ball at the time it reaches the crossbar? Enter positive values if it is still rising and negative values if it is falling.


Explanation / Answer

t = 28/18.9*cos49 = 2.26 s so, s = 18.9*sin49*2.26 - 4.9*2.26^2 = 7.22 m So, it will clear the crossbar by = 7.22 - 3.05 = +4.18 m
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