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A place kicker must kick a football from a point 34 m (about 37 yd) from the goa

ID: 2284304 • Letter: A

Question

A place kicker must kick a football from a point 34 m (about 37 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 26 m/s at an angle of 45 degrees to the horizontal.

a) By how much does the ball clear or fall short of clearing the crossbar? The acceleration of gravity is 9.8 m/s^2 . Answer in units of m.

b) To determine if the ball approaches the crossbar while still rising or while falling, what is its vertical velocity at the crossbar? Answer in units of m/s.

Explanation / Answer

a)
The maximum height it can reach is given by
H = [u sin?] ^2 / 2g = [26 sin 45]^2 / 19.6 = 17.244 m.
17.244

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