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) If the ball is in the air for 4 s, show that it reaches a height of about 20 m.
(c) If the ball reached the same height as when tossed at some other angle, would the time of flight be the same?
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