Discussion on Vectors

Average velocity:
Average velocity is the measure of the average change of position of an object in any given time interval.
Mathematically,
Average velocity = upsilon sub avg = Delta x/Delta t = x2-x1/ t2-t1.
Where , Delta x= Total change in position , Delta t= total time interval.
x2, x1= position of the object at two different time and t2, t1 = Different time.
Average velocity does not depend on the actual path followed by the object , It only depends on the initial and final position of the object in a time period.
If we draw a graph “x” versus “t” for the motion of an object; where , “x” = position of an object and “t” = time.
Then the average velocity of the object in a given time interval is the slope of the line joining it’s initial and final position in the time interval.
Average Speed:
The average speed of a particle during a time interval  Delta t is the average distance moved by the particle during the time interval.
Mathematically,
Average speed = S sub a silcon g = Total - distance - moved/ Delta t.