Motion in A Plane Test - 4

Vector subtraction is defined in the following way.

• The difference of two vectors, A - B , is a vector C that is, C = A - B
• The addition of two vector such that C = A + (-B). B has been taken in opposite direction.

Thus vector subtraction can be represented as a vector addition.

The component method of addition can be summarized this way: 

• Using trigonometry, find the x-component and the y-component for each vector.
• Add up both x-components, (one from each vector), to get the x-component of the total.
• Add up both y-components, (one from each vector), to get the y-component of the total.
• Add the x-component of the total to the y-component of the total, and then use the Pythagorean theorem and trigonometry to get the size and direction of the total.

Using these points in mind, the sum of the vectors A and B has a component in the x direction  =A_x + B_x

An object that falls through a vacuum is subjected to only one external force, the gravitational force, expressed as the weight of the object. An object that is moving only because of the action of gravity is said to be free falling and its motion is described by Newton's second law of motion. With algebra we can solve for the acceleration of a free falling object. The acceleration is constant and equal to the gravitational acceleration g which is 9.8 meters per square second at sea level on the Earth. The weight, size, and shape of the object are not a factor in describing a free fall.