4. A soccer ball is kicked at a velocity of 30 m/s at 35 degrees (to the horizontal). Assume there is no air resistance and that the starting height and landing height of the soccer ball are the same. (25 points)
a. What is the horizontal component of the initial velocity of the soccer ball (i.e. the initial horizontal velocity)?
b. What is the vertical component of the initial velocity of the soccer ball (i.e. the initial vertical velocity)?
c. How long will it take the soccer ball to reach peak height?
d. How long will the soccer ball be in the air before it lands?
e. At peak height, what is the soccer ball's vertical acceleration?
f. At peak height, what is the soccer ball's horizontal acceleration?
g. At peak height, what is the soccer ball's horizontal velocity?