You raise a bucket of water from the bottom of a deep well. if your power output is 138 w , and the mass of the bucket and the water in it is 4.00 kg , with what speed can you raise the bucket? ignore the weight of the rope.

(a) assume the equation x = at^3 + bt describes the motion of a particular object, with x having the dimension of length and t having the dimension of time. determine the dimensions of the constants a and b. (use the following as necessary: l and t, where l is the unit of length and t is the unit of time.) (b) determine the dimensions of the derivative dx/dt = 3at^2 + b. (use the following as necessary: l and t, where l is the unit of length and t is the unit of time.)