A product is dropped and hits the ground going $4$ m$/$s$.$ It experiences an acceleration a$=-$kx$,$ where x is the compression of the packing material surrounding it$.$ Given that maximum packing compression, xmax $=15$mm $=0\mathrm{.}015$m$,$ Determine the maximum acceleration of the product.

a$)$ Determine k by relating v$,$ a$,$ and x$.$

b$)$ Determine aMax. Since a$=-$kx then aMax$=-$k$($xMax$).$