A particle of mass 5 kg moves along the x axis under the influence of a restoring force F = -40x in Newtons and a damping force Fd = -10v in m/s (v is the velocity). The particle starts from rest at a distance of x = 20m from the equilibrium position. a) using Newton's 2nd law find the equation of motion of the particle b) is the particle underdamped, overdamped or critically damped c) find the expression for the position of the particle at any time x(t)

A particle of mass 5 kg moves along the x axis under the influence of a restoring force F = -40x in Newtons and a damping force Fd = -10v in m/s (v is the velocity). The particle starts from rest at a distance of x = 20m from the equilibrium position. a) using Newton's 2nd law find the equation of motion of the particle b) is the particle underdamped, overdamped or critically damped c) find the expression for the position of the particle at any time x(t)