As an aid in working this problem, consult interactive solution 3.41. a soccer player kicks the ball toward a goal that is 20.0 m in front of him. the ball leaves his foot at a speed of 15.7 m/s and an angle of 31.0 ° above the ground. find the speed of the ball when the goalie catches it in front of the net.

V=14.9 m/s

Explanation:

In order to solve this problem, we are going to use the formulas of parabolic motion.

The velocity X-component of the ball is given by:

The motion on the X axis is a constant velocity motion so:

The whole trajectory of the ball takes 1.48 seconds

We know that:

Knowing the X and Y components of the velocity, we can calculate its magnitude by: