A seaplane of total mass m lands on a lake with initial speed vii. 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 -bvi = m(dv/dt)i. From the fundamental theorem of calculus, this differential equation implies that the speed changes according to

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?

Transcribed Image Text:

Sivdv_ -b Sólde