A $2\mathrm{.}0-$kg block hangs from a spring whose spring constant is $150$ N$/$m$.$

The spring is initially at rest at its equilibrium position. You then take the mass, pull it

down $10$ cm$,$ and then give the mass an initial downward speed of $0\mathrm{.}50$ m$/$s$.$ Find the block$$s position as a function of time. Set the origin at the

equilibrium position, with the y$-$axis pointing upwards. What is the block$$s position the first time the acceleration reaches its

maximum magnitude? Be sure to clearly show your work$/$reasoning$.$