Given displacement of a particle executing SHM y(t)=A cos (omegat+phi). Plot instantaneous displacement, velocity and acceleration of particle with respect to time.

Given displacement of a particle executing SHM y(t)=A cos (omegat+phi)

1.	Given displacement of a particle executing SHM y(t)=A cos (omegat+phi). Plot instantaneous displacement, velocity and acceleration of particle with respect to time.
Answer» Solution :`y(t)=A COS (OMEGAT+PHI)` `v(t)=-OMEGA A sin (omega t+phi)` and `a(t)=-omega^(2)A cos (omegat +phi)` and note that `""cos ((pi)/(2)+phi)=-sin phi""sin((pi)/(2)+phi)=+cos phi` `cos (pi+phi)=-cos phi""sin(pi+phi)=-sin phi` `cos((3pi)/(2)+phi)=+sin phi""sin ((3pi)/(2)+phi)=-cos phi` and `cos (2pi+phi)=+cos phi""and sin (2pi+phi)=+sin phi`