37. ••• The velocity of a vertically oscillating 5.00-kg mass on a spring is given by v = (−0.600 m/s)sin(6t)

(a) Determine an expression for its location, y, as a function of time.

(b) Where does the motion start and in what direction does the object move initially and with what speed?

(c) Determine the period of the motion.

(d) Determine the maximum force on the mass.