v$($t$)=(3\mathrm{.}60$cm$)$ sint$(4\mathrm{.}71"$ad$).-$ A $0\mathrm{.}500$ kg mass is attached to a spring and executes SHM with a velocity given by TT t$-$ a$)$ What is the period? b$)$ What is the amplitude? c$)$ What is the maximum acceleration of the mass? d$)$ What is the force constant of the spring? e$)$ What is the velocity of the mass at t$=0?$ f$)$ What is the velocity of the mass at t$=1\mathrm{.}50$ s$?$ g$)$ Write a function for displacement x$($t$),$ using the fact that at t$=0$ the mass is at x $=0.$ h$)$ What is the total energy of the system at t$=1\mathrm{.}50$ s$?$