Newton's First Law of Motion

An object in motion will remain in motion, and object at rest will remain at rest, unless acted upon by an outside force.

The application of this law in flight is obvious; flying machines require force to get them moving and force to stop them.

Newton's Second Law of Motion

The acceleration is inversely proportional to the mass and proportional to the force.

F=MA

Again, the application of this law is obvious.  In order to fly, there must be enough force on the mass of the object to accelerate; it must have enough acceleration to overcome the downward acceleration of gravity (9.8m/s^2).  It must also have enough horizontal acceleration to overcome drag and friction.

Newton's Third Law of Motion

For every action there is an equal and opposite reaction.

Propellers and jet engines push against the air to generate thrust to propel the plane forward (see Airplanes)