Friction on the ball

[chmorroni]

In a calculation of the force required to shoot the ball from the line between the alliance zone and the white zone into the high goal, could I, in an effort to avoid using differential equations, assume that the drag is a constant vector pointing from the point at which the ball passes the plane of the goal to the point of release?

I am trying to see if drag is a significant factor, and I would like to calculate the force required to shoot the ball with drag taken into account.