A certain mass is supported by a spring So that it is at rest $0\mathrm{.}5$ m above a table top. The mass is pulled down $0\mathrm{.}4$ m and released at time $i=0,$ creating a periodic up and down motion, called simple harmonic motion. It takes J $\mathrm{.}2$ s for the mass to return to the low position each time.

a$)$ Draw a graph showing the height of the mass above the table top as a function of time for the first $2\mathrm{.}0$ s $.$

b$)$ Write an equation for the function in part a$).$

c$)$ Use your equation to determine the beight of the mass above the table top after$-$ i$)0\mathrm{.}3$ s ii$)0\mathrm{.}7$ s iii$)1\mathrm{.}2$ s $.$