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 gt^2/8.
b. If the ball is in the air for 4 seconds, show that the ball reaches a height of 19.6m.
c. If the ball reached the same height as when tossed at some other angle, would the time of flight be the same?

1 answer

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 gt^2/8.
b. If the ball is in the air for 4 seconds, show that the ball reaches a height of 19.6m.
c. If the ball reached the same height as when tossed at some other angle, would the time of flight be the same?