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I have second doubts on air drag problem.

Let's say an object is moving with speed v_obj = 15 m/s and that the air is moving with speed v_wind = -2 m/s. What is the the force of air drag? If There would be no wind. The force would be 1/2*drag coeff.*density of air*area*v_obj^2. But with the wind blowing, should I say that there are 2 forces acting, force of wind which is 1/2*drag coeff.*density of air*area*v_wind^2 + force due to movement of the object in the air 1/2*drag coeff.*density of air*area*v_obj^2. Soo the solution is 1/2*drag coeff.*density of air*area*(v_obj+v_wind)^2. Soo the speed we use is actually 15 m/s - 2m/s. Which will give the same resoult as we would be moving trough still air with speed of 13 m/s? That doesnt seem logical to me.