This is not so simple. I imagine that you have to include a lot of effects if high calculation accuracy is required. Wind is only one of them probably important during initial phase of flight only. Lets say until first stage rocket separation. You may probably assume constant speed of let say a cross-wind (max wind force. In such case exerted force is:
(dynamic pressure)x(rocket cross-section area perpendicular to wind)x(aerodynamic coef of a cylinder in a cross-wind)
Problem is that dynamic pressure is: ½ of (air density)x(wind velocity)^2
meaning density dependant i.e. height dependant. There must be some differential equation describing this rather correctly.
Gaining a speed means that friction has to be accounted for too, but on the other hand gaining a height means thinner air. The friction is predominant in the last flight phase when warhead flies really ballistic entering more dens air at high speed and wind effect is absolutely negligible then.
