Consider the problem of kicking a soccer ball past a goalkeeper into the goal (Fig. P4.2...

Consider the problem of kicking a soccer ball past a goalkeeper into the goal (Fig. P4.29). You are 25 m away from the goal and kick the ball at an angle of 30° with respect to the horizontal, and the ball just passes over the goalkeeper’s hands. Find the initial speed of the ball. Also, calculate how long it takes the ball to get from you to the goal. Hint: You will have to estimate the height of the goalkeeper.