A seaplane of total mass m lands on a lake with initial speed v,i. The only horizontal force on it is a resistive force on its pontoons from the water. The resistive force is proportional to the velocity of the seaplane: R = - bv. Newton's second law applied to the plane is – bvî = m(dv/dt)î. From the fun- damental theorem of calculus, this differential equation implies that the speed changes according to °dv dt m (a) Carry out the integration to determine the speed of the seaplane as a function of time. (b) Sketch a graph of the speed as a function of time. (c) Does the seaplane come to a complete stop after a finite interval of time? (d) Does the seaplane travel a finite distance in stopping?

A seaplane of total mass m lands on a lake with initial speed v,i. The only horizontal force on it is a resistive force on its pontoons from the water. The resistive force is proportional to the velocity of the seaplane: R = - bv. Newton's second law applied to the plane is – bvî = m(dv/dt)î. From the fun- damental theorem of calculus, this differential equation implies that the speed changes according to °dv dt m (a) Carry out the integration to determine the speed of the seaplane as a function of time. (b) Sketch a graph of the speed as a function of time. (c) Does the seaplane come to a complete stop after a finite interval of time? (d) Does the seaplane travel a finite distance in stopping?