Problem 3: An object of mass m at the origin has an initial velocity vo in the + directionat time t = 0, and moves along the + axis through a substance where there is a drag forceF(v) = -cv¹/³ (i.e., something intermediate between viscous and aerodynamic drag).(a) Use the separation of variables method to integrate the equation of motion and findv(t).(b) At what time will the mass come to rest?(c) Use the chain-rule substitution v = v dv/dr in the equation of motion, and solve tofind v(x). Show that the mass eventually travels a distance 3mv2/3/2c.For each part, check your result for dimensional consistency and limiting-case behavior.

This is a question where we need to find the equation of motion of the object first by using…

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