Problem #1: A Vee-hull fishing boat has a deep keel to improve stability in rough waters (see figure). For the example shown below, the total boat length is 20 ft (into the page), the beam width is 8 ft, and the total draft is 6 ft. Assume that the hull profile is constant along the entire length of the boat given by the function: 3 y(x) = [3-tan (-x+1] 8 waterline LUND 6 ft 8 ft 2.5 ft x y(x) Assuming the boat floats in fresh water, determine: a) For a freeboard dimension (distance from beam to waterline) of 2.5 ft as shown in the figure, determine the gross weight of the boat + cargo/passengers (lbf). b) If the gross weight were to increase by 25% from that calculated in problem 2, how much freeboard would remain?