A particle P of mass m_moves in a straight line under the action of a force of magnitude 13mlz|directed towards a fixed point O, where z metres is the distance of P from O. The resistance to motion of P is of magnitude 6m|u|, where vis the speed of P. 7. Show that the equation of motion of P is dz + 6+ 13z = 0. dt? dt Initially, P is 3 metres away from O and moving towards O with speed 3 m/s. Express z in the form = = Ae sin(2t + 2), giving the values of A and 2. Find the period of oscillation.

A particle P of mass m_moves in a straight line under the action of a force of magnitude 13mlz|directed towards a fixed point O, where z metres is the distance of P from O. The resistance to motion of P is of magnitude 6m|u|, where vis the speed of P. 7. Show that the equation of motion of P is dz + 6+ 13z = 0. dt? dt Initially, P is 3 metres away from O and moving towards O with speed 3 m/s. Express z in the form = = Ae sin(2t + 2), giving the values of A and 2. Find the period of oscillation.