The graph below shows an object in simple harmonic motion $($horizontal$).$ If $k=65k\frac{N}{m},$ determine the,

a$.$ Mass. Ans. $1\mathrm{.}48$ kg

b$.$ Frequency. Ans. $33\mathrm{.}3$ Hz

c$.$ Maximum velocity. Ans. $52\mathrm{.}4\frac{m}{s}$

d$.$ Maximum acceleration. Ans. $11{10}^3\frac{m}{s}$

e$.$ Total energy of the system. Ans. $2\mathrm{.}03$ kJ

f$.$ Position and direction of motion at $t=589ms.$ Ans. $-18\mathrm{.}6$ cm $,$ moving to the left $($negative$)$