Lacie kicks a football from ground level at a velocity of 13.9 m/s and at an angle of 25.0° to the ground. how far will the football travel before it lands? round your answer to the nearest tenth.

First split up the velocity into horizontal and vertical components.


Next set up position functions for both 'x' and 'y' directions.
Using the general position function

a = acceleration, v = velocity, c = initial position

Assume initial position is at (0,0)
We know the velocities, vx and vy
acceleration due to gravity is -9.8 (Only in 'y' direction)
There is 0 acceleration in the 'x' direction.



The football will hit the ground when y(t) = 0


Substitute this value into x(t) to find how far the football traveled.