The average velocity over an time interval is the average of the instantaneous velocities for all instants over that period.
Conversely, as the time interval is reduced, the average velocity comes closer and closer to the instantaneous velocity.
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A distance-time graph shows the movement of an object with respect to time. The average slope between any two points on the graph is equal to the average velocity of the object between those two points. The instantaneous slope (or derivative) at a point on the graph is equal to the instantaneous velocity of the object at that point.
Instantaneous speed is the speed at a particular moment in time.The average speed of an object tells you the (average) rate at which it covers distance
accleration is the speed. Velocity is when you know the speed of an object and its direction.
Suppose you accelerate in your car from stopped to 50 km.hr-1. When you were stopped your instantaneous speed was zero. At the end of the period of acceleration your instantaneous speed was 50 km.hr-1. If your rate of acceleration was constant then your average speed was 25 km.hr-1.
The average velocity has two parts to it: The average speed and the average direction. The average speed is: (the distance you travel between 0 and 3 seconds) divided by (3). The average direction is: the direction from (the place where you started at 0 seconds) to (the place where you finished at 3 seconds).