Horizontal Acceleration (dV/dt)
Friction, Coriolis, and the pressure gradient forces act on any parcel of air. If these forces balance each other, then the air parcel will maintain a constant velocity (no change in speed or direction). However, if the three forces do not balance each other, then the air parcel is said to experience acceleration, or a change in speed or direction over time. The parcel may accelerate or decelerate.
The acceleration is itself a net force, and air flow shifts toward its direction. It influences the air flow just as the other forces do, even though it is really a product of the other forces acting on the parcel. When we combine these forces, we get the following:
This equation governs air movement in the horizontal direction. What would happen if we took away friction? The result would be geostrophic flow, our next topic.