Unless otherwise stated, in the following problems we assume that the gravitational force is constant with g = 9.81 m/sec2 in the MKS system and g = 32 ft/sec2 in the U.S. Customary System.
Sailboats A and B each have a mass of 60 kg and cross the starting line at the same time on the first leg of a race. Each has an initial velocity of 2 m/sec. The wind applies a constant force of 650 N to each boat, and the force due to water resistance is proportional to the velocity of the boat. For sailboat A the proportionality constants are b1 = 80 N-sec/m before planing when the velocity is less than 5 m/sec and b2 = 60 N-sec/m when the velocity is above 5 m/sec. For sailboat B the proportionality constants are b3 = 100 N-sec/m before planing when the velocity is less than 6 m/sec and b4 = 50 N-sec/m when the velocity is above 6 m/sec. If the first leg of the race is 500 m long, which sailboat will be leading at the end of the first leg?
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