Assignment:
Q1. A boat is pulled into a dock by means of a winch 12 feet above the deck of the boat....
(a) The wich pulls in a rope at a rate of 4 feet per second . Determine the speed of the boat when there is 13 feet of rope. What happens to the speed of the boat as it gets closer to the dock?
(b) Suppose the boat is moving at a constant rate of 4 feet per second.Determine the speed at which the winch pulls in rope when there is a total of 13 feet of rope out. What happens to the speed of the rope as the boat gets closer to the dock?
Q2. An airplane is flying at an altitude of 5 miles and passes directly over a radar antenna. When the plane is 10 miles away (s =10), the radar detects that the distance s is changing at a rate of 240 mph. What is the speed of the plane?
Provide complete and step by step solution for the question and show calculations and use formulas.