The motion of an aircraft through the air can be explained and described by physical principals discovered over 300 years ago by Sir Isaac Newton. Newton worked in many areas of mathematics and physics. He developed the theories of gravitation in 1666, when he was only 23 years old. Some twenty years later, in 1686, he presented his three laws of motion in the "Principia Mathematica Philosophiae Naturalis." The laws are shown above, and the application of these laws to aerodynamics are given on separate slides.
Newton's first law states that every object will remain at rest or in uniform motion in a straight line unless compelled to change its state by the action of an external force. This is normally taken as the definition of inertia. The key point here is that if there is no net force acting on an object (if all the external forces cancel each other out) then the object will maintain a constant velocity. If that velocity is zero, then the object remains at rest. If an external force is applied, the velocity will change because of the force.
The second law explains how the velocity of an object changes when it is subjected to an external force. The law defines a force to be equal to change in momentum (mass times velocity) per change in time. Newton also developed the calculus of mathematics, and the "changes" expressed in the second law are most accurately defined in differential forms. (Calculus can also be used to determine the velocity and location variations experienced by an object subjected to an external force.) For an object with a constant mass m, the second law states that the force F is the product of an object's mass and its acceleration a:
F = m * a
For an external applied force, the change in velocity depends on the mass of the object. A force will cause a change in velocity; and likewise, a change in velocity will generate a force. The equation works both ways.
In a small town, people are divided into two opposing sides. Those who support the British rule are called Loyalists while those who are against the colonizers are the Patriots. Most of the Loyalists hold office positions and felt that the British will win the war. However, the Patriots still want to gain independence from the colonizers.
The officers may have been allowed so as to make the fort a better settlement and let them live there longer.
Explanation:
Fort Union had always been fairly busy and it required a lot of food supplies due to the amount of the refugees coming in at all times.
This could help the pockets of the officers who could just now have farms there and use their own produce to turn them profits and have readily available sources of food for the migrants landing there.
This allowed them to have a rather stable stay at their post as they would in this time.
