A 5.20 kg bucket of water is accelerated upward by a cord of negligible mass whose breaking strength is 90.0 N.
If the bucket starts from rest, what is the minimum time required to raise the bucket a vertical distance of 12.0 m without breaking the cord?
mg down
90 N up
90 - 5.2*9.81 = 90 - 51 = 39 N net up
39 = m a
a = 39 / 5.2 = 7.5 m/s^2
h = 0 + 0 t + (1/2) 7.5 * t^2
12 = 3.75 t^2
t = 1.8 seconds