A binormal plane is the straight line passing through a point M0 of a curve L perpendicular to the oscillating plane to L at M0. If r=r(t) is a parameterization of L, then the vector equation of the binormal at M0 corresponding to the value of t0 to the parameter of t has the form.
Based on the square law of velocity, and assuming the smoothing factor for the elasticity of the carpet follows a binormal law of distribution, we can infer that a standard tennis ball would bounce at about 20cm for a carpet of 5cm width.