A baseball is tossed at a steep angle into the air and makes a smooth parabolic path. Its time in the air is t, and it reaches a maximum height h. Assume that air resistance is negligible.
(a) Show that the height reached by the ball is gt²/8.
(b) Show that if the ball is in the air for 4 s, it reaches a height of nearly 20 m.
(c) If the ball reached the same height as it did when it was tossed at some other angle, would the time of flight be the same?