A place-kicker must kick a football from a point of 36.0 m ( about 40 yards) from the goal.  Half the crowd hopes the ball will clear the crossbar, which is 3.05 m high. When kicked, the ball leaves the ground with a speed of 23.9 m/s at an angle of 51.5 degrees to the horizontal.  So in step 3 use an equation for the  y-component of displacement under constant acceleration to find the height of the ball at this time, where yo is the initial vertical displacement, voy is the initial y-component of velocity, and ay is the vertical acceleration. y=yo+voy^t+1/2ayt^2. Use trigonometry.

College Physics
11th Edition
ISBN:9781305952300
Author:Raymond A. Serway, Chris Vuille
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Chapter1: Units, Trigonometry. And Vectors
Section: Chapter Questions
Problem 1CQ: Estimate the order of magnitude of the length, in meters, of each of the following; (a) a mouse, (b)...
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A place-kicker must kick a football from a point of 36.0 m ( about 40 yards) from the goal.  Half the crowd hopes the ball will clear the crossbar, which is 3.05 m high. When kicked, the ball leaves the ground with a speed of 23.9 m/s at an angle of 51.5 degrees to the horizontal. 

So in step 3 use an equation for the  y-component of displacement under constant acceleration to find the height of the ball at this time, where yo is the initial vertical displacement, voy is the initial y-component of velocity, and ay is the vertical acceleration. y=yo+voy^t+1/2ayt^2. Use trigonometry.

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