In a soccer game a midfielder kicks the ball from one touchline directly toward the other with a velocity of 14m/s (along the positive x axis ) after the ball travels for 2.5 seconds a stricker makes an acrobatic kick that gives the ball a new velocity in the y direction and after 0.9 seconds as the ball passes the diving goalkeeper and goes into the net if total displacement of the ball is 40.2 at 29.5 above x positive axis with what speed did the stricker kick the ball

5.8 m/s

Explanation:

First, we can find the net velocity of the ball. In fact, we know that the total time of travel is

While the total displacement is

d = 40.2 m

So, the net velocity is

We know that the direction of the velocity is equal to that of the displacement, so

above the positive x axis. Therefore, we can find the velocity along the y-axis:

And since the initial motion of the ball was only along the x-axis, we can say that this is the speed at which the stricker kicked the ball.