Determining ball speed, Vernier

[hsekhon27]

If you're using the wheels for shooter, the formula for calculating the tangentional velocity (the velocity of the ball) is 2*pi*f*r, where f is frequency (number of rotations in 1 second) and r is radius of the ball. The formula for calculating the range is (v^2 sin2x)/g, where v is your speed (calculated by 2*pi*f*r), x is your launch angle, and g is 9.81. The formula for a height at a specific range r is r*tan(x)-(g*r)/(v*cos(x))^2. you can rearrange these formulas to find launch angles and launch velocities.