Answer:
Approximately (assuming that
, the ball was launched from ground level, and that the drag on the ball is negligible.)
Explanation:
Let denote the velocity at which the ball was thrown upward.
If the drag (air friction) on the ball is negligible, the ball would land with a velocity of exactly . The velocity of the ball would be changed from
to
(such that
) within
.
Also because the drag on the ball is negligible, the acceleration of the ball would be . Thus:
.
Since :
.
.
The ball reaches maximum height when its velocity is . Apply the SUVAT equation
to find the displacement
between the original position (ground level, where
) and the max-height position of the ball (where
.)
.