Given formula t= v/2g
Where v is the final velocity, g is the gravitational constant of 32 ft/sec^2, t is the time in seconds of the fall.
For the given problem, we have
g=-32 ft/sec^2 ( we took it negative because it's free fall and for free fall the value of g is a negative value).
v=-96 ft/sec.
Plugging values of v and g in given formula, we get
t= -96/2(-32)
t= -96/-64
Dividing -96 by -64, we get
t=1.5 seconds.
Therefore, it take 1.5 seconds to reach the final velocity of -96 feet per second.
