Answer: 5.91836735
Explanation:
For a problem such as this you would use the equation:
V final = V initial +(A*T)
V final = 58 m/s
V initial = 0 (b/c object begins at rest)
A (acceleration) = 9.8 m/s/s
T (time) = X
Time is our unknown variable so you would begin by plugging in your equation with the variables given, which would be:
58 m/s = 0 + (9.8 m/s/s * X)
Then you isolate X by doing:
58 m/s = 0 + (9.8 m/s/s * X)
-0 -0
58 m/s = 9.8 m/s/s * X
(58/9.8)
Getting: 5.91836735 seconds = X as your answer
