Abucket of water with a mass of 2.0 kg is attached to a rope that is wound around a cylinder. the cylinder has a mass of 4.0 kg and is mounted horizontally on frictionless bearings. the bucket is released from rest. (a) find its speed after it has fallen through a distance of 1.50 m

Arocket starts from rest and moves upward from the surface of the earth. for the first 10.0 s of its motion, the vertical acceleration of the rocket is given by ay = 12.80 m/s32t, where the +y-direction is upward. (a) what is the height of the rocket above the surface of the earth at t = 10.0 s? b) what is the speed of the rocket when it is 325 m above the surface of the earth?