Answer to Question #76698 in Physics for akash deep

Question

A block of mass 1 kg is attached to a spring of force constant Nm .
4

k =25/4N/m It is
pulled 0.3 m from its equilibrium position and released from rest. This spring‐block
apparatus is submerged in a viscous fluid medium which exerts a damping force of
– 4 v (where v is the instantaneous velocity of the block). Determine of the position x(t)
of the block at time t.