# Distance a curveball travels?

I've seen some discussions regarding the movement of a spinning object, say a curveball. However, all have been largely qualitative. I was wondering if anyone has seen or worked through a calculation of how far a curveball moves laterally on its way from the mound to homeplate - even in an order-of-magnitude sense.

$$\mathbf{F}_M= S \left( \mathbf{\omega} \times \mathbf{v} \right)$$ $$\left| \mathbf{F}_D \right| =\frac{1}{2} \rho \left| \mathbf{v} \right|^2 C_D A$$
the direction of the drag force is oriented opposite to the direction of motion. $\rho$ is the density of the fluid (air in the case of a baseball), v is the velocity of the curveball relative to the fluid, A is the cross section of the baseball.
$S$ and $C_D$ are two coefficient to be determined. Typically $S$ is in the range 0.1-0.5 and $C_D$ is 0.1 for a smooth sphere, and will be a little more for a baseball which is not perfectly smooth.