A place kicker must kick a football from a point 30.9 m from a goal

Question

A place kicker must kick a football from a point 30.9 m from a goal. As a result of the kick, the ball must clear the crossbar, which is 3.05 m high. When kicked the ball leaves the ground with a speed of 20.6 m/s at an angle of 53° to the horizontal. By how much does the ball clear or fall short of clearing the crossbar?

THIS IS THE WHOLE QUESTION I COULD NOT FIT IT INTO THE TITLE

Answer 1

Find the time required when the ball reaches the 30.9m distance.

X = Vox * t

Vox = 20.6 cos 53 = 12.4 m/s

t = X/Vox = 30.9/ ( 20.6 cos 53) = 2.49 seconds

Now, see how high the ball will be at this time

Let A be initial point, B be final point

Yb = (1/2) *a*t^2 + Voy*t+Ya

Ya = 0

Yb = -(1/2)*9.81*2.49^2 + 20.6sin53*2.49 + 0

Yb = 10.55

Ball is higher then the cross bar...

It clears it by 10.55 - 3.05 = 7.5 m