Answer:
72.25 ft.
Step-by-step explanation:
When the ball would reach the maximum height, its velocity would be zero. Acceleration due to gravity would act downwards = -32 ft/s²
Using the first equation of motion, time can be calculated as:
v - u = a t
⇒ 0-68 ft/s = - 32 ft/s²× t
⇒t = 2.125 s
The ball would take 2.125 s to its highest point.
Using the third equation of motion, height can be calculated as:
[tex]s=\frac{v^2-u^2}{2a}\\ \Rightarrow h = \frac{0-(68ft/s)^2}{2\times 32ft/s^2} = 72.25 ft[/tex]
Thus, its height would be 72.25 ft.