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(15 pts) An object of mass m is attached to a spring and has a height of h(t) = 3 + sin (t) feet at time t seconds. Answer the following and show all of your work. a) Find the height and kinetic energy of the object when: i. t = 1 sec ii. t = 2 sec t = 3 sec b) Find the rate of change in the kinetic energy when: t = 1 sec ii. t = 2 sec iii. t = 3 sec c) Why is this an unrealistic model of the motion of a mass attached to a real spring