A $15\mathrm{.}0-kg$ block is released from point A with an initial speed $10\mathrm{.}0\frac{m}{s}$ is frictionless except for the portion between points B and spring, which has a length of $100\mathrm{.}0$ m $.$ The block travels down the track, hits a spring of force constant $2\frac{N}{m}.$ The coefficient of static friction and kinetic friction between the block and the surface is $0\mathrm{.}8$ and $0\mathrm{.}2,$ respectively.

a$)$ Find the speed of the block when it reaches the point B$?$

b$)$ Deternine the compression of the spring due to the block.

c$)$ After stopped by spring. Whether the block moves again or not?