This problem is an example of critically damped harmonic motion.A mas m=7kg it atrached mo borh a spring with epring comeane k=63Nm and a duh-por with damping conneant c=42N*sm. The ball is started in motion with initial position z0=3m and initial velociry vo0=-10msDetermine the position function x(t) in meters.x(t)=q,Graph the function x(t).Now asume the mass is ser in motion with the same intial position and velociry, but with the dathpor disconnected (so c=0). Solve the seculting differential equarion to tind the position function u(t).In this case the position function u(t) can be writeen asu(t)=C0cos(t-a0). Determine C0.0 and a0-c040=3a0=(2ssume 00<2).Finally, graph both function x(t) and u(t) in the same window to illustrate the effect of damping-