Make the base of the building zero. Then the initial distance is 100m, final distance unknown x. Use gravity, time and initial velocity to solve for final distance. x - 100 = (0)(5) +(1/2)(-9.81)(5^2) x - 100 = 0 - 122.625 x = -122.625 + 100 x = -22.625 m below ground
The bucket is moving at a constant speed of 2m/s Therefore F=ma is 0 N for this to be correct the magnitude of the force exerted by the rope must be equal to the weight of the bucket which is 5 N