posted by liz .
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 (square) /8.
b.) If the ball is in the air for 4 seconds, show that the ball reaches a hieght of 19.6m.
c.) If the ball reaches the same height as when tossed at some other angle, would the time of flight be the same?
a) If the time in the air is t, it spends t/2 going up and t/2 coming back down. The distance it falls in time t/2 is
(1/2)*g*(t/2)^2 = gt^2/8
b) gt^2/8 = 9.8* 16/8 = 19.6 m
c) The formula linking max height to time in the air is independent of the angle thrown. So the answer is "yes".