6)A boat on a lake is launched with an initial speed vo. The boat experiences a drag forcefrom the waterFd=-beavû,where b and a are positive constants and û is unit vector in the direction of velocity. There are noother frictional forces acting on the boat.(a) Draw a free body diagram and use Newton's second law to determine the differential equationsdescribing the boat's motion.(b) Solve the differential equations for the speed of the boat v(t).(c) Show that the time for the boat to come to rest is t = (m/ab)(1-e-avo).

Newton's second law: According to this law, the net force acting on a body of constant mass is equal…

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