In a shuffleboard game, the puck slides a total of 12 m on a horizontal surface before coming to rest. if the coefficient of kinetic friction between the puck and board is 0.10, what was the initial speed of the puck?

Given that,

Puck slide total Deltax = 12m

Puck and board Mk = 0.10

Find the initial speed = ?

We know that,

Vf^2-Vi^2 = 2a Deltax

-Vi^2 = - 2MkgDeltax ... (1)

then,

fk = - Mk mg = ma

a = - Mkg ... (2)

From equation (1),

Vi^2 = 2MkgDeltax

Vi = âš2MkgDeltax [g=9.8m/s^2]

Vi = âš2 (0.10) (0.98) (12)

Vi = âš0.2 (9.8) (12)

Vi = âš1.92 (12)

Vi = âš23.52

Vi = 4.8 m/s

Therefore the initial speed of the puck Vi = 4.8 m/s