Assignment:
A pulley is suspended 13.5 m above a small bucket of cement on the ground. A rope is put over the pulley. One end of the rope is tied to the bucket and the other end dangles loosely to the ground. A construction worker holds the end of the rope at a constant height (1.5 m) and walks away from beneath the pulley at 1.6 m/s. How fast is the bucket rising when he is 9 m away from the path of the rising cement bucket?
Provide complete and step by step solution for the question and show calculations and use formulas.