gistfile1.txt

KE = 1/2 * m * v^2
m = mass
M = Moment
theta = rotation in radians
wheel_circumference = pi*wheel_diameter
radians/revoltion = 2*pi
Energy = M * theta
Energy/revolution = M * theta * 2*pi

Number_of_wheel_revolutions = KE / (Energy/revolution)
  = (1/2 * m * v^2) / (M*m * 2*pi) = v^2/(M*2*2*pi)

Distance_traveled = Number_of_wheel_revolutions * wheel_circumference

Properties:
Moment/mass = 100Nm/100kg = 1Nm/kg
Wheel_diameter = 30cm

Because we're rounding M to 1Nm/kg, let's also round 2*pi to 6. And let's round the wheel circumference to 1m.

==> Number_of_wheel_revolutions = v^2/(2*6) = v^2/12
Distance_traveled = Number_of_wheel_revolutions * 1m/rev = v^2/12