A constant force P is applied to a piston and rod of total mass m to make them move in a c...

A constant force P is applied to a piston and rod of total mass m to make them move in a cylinder tilled with oil. As the piston moves, the oil is forced through orifices in the piston and exerts on the piston a force of magnitude kυ in a direction opposite to the motion of the piston. Knowing that the piston starts from rest at t= 0 and x = 0. show that the equation relating x, υ, and t, where x is the distance traveled by the piston and υ is the speed of the piston, is linear in each of the variables.