Answer:
On the way up, 1.8 seconds and on the way down 4.1 seconds.
Step-by-step explanation:
Use the motion under gravity equation s = ut + 0.5gt^2 where u = initial velocity, s = the height, t = time and g = acceleration due to gravity ( 32 fts-2).
So 120 = 95t + 0.5(-32)t^2
-16t^2 + 95t - 120 = 0
Solving this using the quadratic formula:
t = [-95 +/- √(95^2 - 4 * -16*-120)] / -32
t = 1.823, 4.1148.
The first value refers to the upward journey and the second to the downward journey.