How do you sum 2 vectors analytically and geometrically.
Analytically you sum the components of the vectors. Example V1 = < a , b > V2= < c , d > then V1 + V2 = < a + c, b + d >. Geometrically, you connect the vectors tip to tail.
What is the slope of a line.
The slope of a line is the change of y divided by the change of x. It can be calculated by taking two coordinate points (x1, y1) and (x2, y2) and then taking the difference of the y coordinates and dividing by the difference of the x coordinates (y2-y1)/(x2-x1).
Define Velocity, Acceleration and Speed in terms of f(t). Where f(t) is the position at time t.
If f(t) is the position at time t then f'(t)—the derivative of f(t)—is the velocity while the absolute value of f'(t) is the speed—since speed does not contain direction and f"(t)—the derivative of f'(t)—is the acceleration.