Shuffleboard

Classical Mechanics Level 2

Shuffleboard is a game played with wooden disks on a wooden surface. You give the disks an initial horizontal velocity and try to get them to stop at a certain point. A disk and the surface have a coefficient of kinetic friction equal to $0.1$ . What is the initial velocity in m/s you must give the disk to have it stop $5~\mbox{m}$ away from its launch point?

Details and assumptions

The acceleration of gravity is $-9.8~\mbox{m/s}^2$ .