A sail boat with mass m is traveling at v0 at some zero time when it runs out of fuel. The magnitude of the frictional force fk between the sail boat and water is proportional to the speed v of the sail boat. As an equation, the magnitude of fk is equal to αv, where v is in meters per second, fk is in newtons, and α is a constant with units of kilograms per second. Assume the sail boat is moving at speed v at some generic time t. These quantities are known as the base variables.
Please explain each step of solution.
1. Find the velocity v of the sail boat as a function of the base variables, except the acceleration a.
2. Find the position x of the sailboat as a function of the base variables.
3. Find the effective coefficient of friction (\muk) for the speedboat in the water as a function of the base variables.