Assignment:
Two carts A and B are connected by a rope 39 feet long that passes over pulley P. The point Q is on the floor directly beneath P and between the carts. Cart A is being pulled away from Q at a speed of 2 ft/sec. How fast is cart B moving toward Q at the instant cart A is 5 feet from Q?
Express solution using related rate notation i.e. dy/dt or dx/dt
Provide complete and step by step solution for the question and show calculations and use formulas.