A rope is used to lower a 2.5 kg bucket into a well at an acceleration of -0.6 m/s 2 , where the negative sign indicates the downward direction. The well is 30 m deep, and the bucket starts from rest at the top.

a) Calculate the magnitude of the net force on the bucket. 

b) Calculate the tension in the rope.

c) 10 meters from the bottom the rope breaks and the bucket falls the remaining distance. Calculate the speed of the bucket when it lands at the bottom of the well. (Hint: The bucket is moving when the rope breaks.)