Posted by **Roger** on Sunday, February 5, 2012 at 12:52am.

A place kicker must kick a football from a point 25.5 m from the goal, and must clear a crossbar that is 3 m off the ground. When kicked the ball leaves the ground with a speed of 21.9 m/s at an angle of 54o to the horizontal. By how much does the ball clear the crossbar?

- Physics -
**drwls**, Sunday, February 5, 2012 at 4:27am
The bar reaches the goal post in time

t = 25.5/(Vo*cos54) = 1.981 seconds

Vo is the initial velocity of the football.

Calculate the height of the ball at that time, using the appropriate formula (which you should know or derive),

y = Vo*sin54*t - (g/2)*t^2

= 35.10 - 19.23 = 15.87 m

and subtract 3 m from that.

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