A boat is pulled into a dock by means of a winch 12 feet above the deck of the boat. (a) The winch pulls in rope at a rate of 4 feet per second. Determine the speed of the boat when there is 37 feet of rope out. t/sec What happens to the speed of the boat as it gets closer to the dock? The speed of the boat -Select-- a as it approaches 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 37 feet of rope out. ft/sec What happens to the speed at which the winch pulls in rope as the boat gets closer to the dock? The speed at which the winch pulls in rope -Select--