Average velocity and Average speed.
Where , = Total change in position , = total time interval.
= position of the object at two different time and = 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.
The average speed of a particle during a time interval is the average distance moved by the particle during the time interval.
Average speed =
Let us suppose a vehicle which is moving in a strange way.
Let, at different time the vehicle is at different position from its starting point.
And let us also suppose the movement of vehicle in a direction as positive and in the opposite direction as negative, and the data for its position at different time is:
At time 0 second , it is at the origin.
At time 1 second, it is 1 meter far from the origin.
At time 2 second, it is 2 meter far from the origin.
At time 3 second, it is 7 meter far from the origin.
At time 4 second, it is 5 meter far from the origin.
At time 5 second, it is 10 meter far from the origin.
So we can analyze above data and come into following conclusion:
In the first second the vehicle moved 1 meter in positive direction.
In the second second the vehicle moved 1 meter in positive direction.
In the third second it moved 5 meters in positive direction.
In the fourth second it moved 2 meters in negative direction.
And in the last second it moved 5 meters in positive direction.
In the above example ,
the average velocity of the vehicle =
But the average speed of the vehicle =
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