If I drive away from my house at 8:00 in the morning and return at 6:00 PM that same evening with 50 more miles showing on the car, you know immediately that my average speed for the day was 5 mph.
But you don't know a thing about how much of that time I was stopped, how much in motion, or what my speed was at any moment between 8 and 6, because there's no necessary relationship between instantaneous and average speed.
I guess it's probably true to say that there has to be some instant during any period of time when the instantaneous speed must be equal to the average speed during the same period. That sounds like a nice theorem, and its proof ought to be good for some mathematical recreation, but it doesn't seem too useful.
Instantaneous speed is speed measured at a specific time. Speed is an average.
instantaneous speed.
Instantaneous speed:- It is the rate of change of position with respect to time,at that instant. Average speed:-Average speed is defined as the total path length travelled divided by the total time interval.
Average speed is the total distance divided by the total time. Instantaneous speed is the speed at one instant, that is found by taking the first derivative of the position, and evaluating it at t (time).
Only if speed is constant. There can be no acceleration if the average speed is equal to the instantaneous speed.
Instantaneous speed is speed measured at a specific time. Speed is an average.
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
instantaneous speed
instantaneous speed.
Instantaneous speed:- It is the rate of change of position with respect to time,at that instant. Average speed:-Average speed is defined as the total path length travelled divided by the total time interval.
Average speed is the total distance divided by the total time. Instantaneous speed is the speed at one instant, that is found by taking the first derivative of the position, and evaluating it at t (time).
Only if speed is constant. There can be no acceleration if the average speed is equal to the instantaneous speed.
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.
It shows instantaneous speed.
Average speed and instantaneous speed are both measurements of the speed of an object. The instantaneous speed measures how fast the object is going at a particular moment, while average speed shows how fast the object was moving in total over time.
If I drive away from my house at 8:00 in the morning and return at 6:00 PM that same evening with 50 more miles showing on the car, you know immediately that my average speed for the day was 5 mph. But you don't know a thing about how much of that time I was stopped, how much in motion, or what my speed was at any moment between 8 and 6, because there's no necessary relationship between instantaneous and average speed. I guess it's probably true to say that there has to be some instant during any period of time when the instantaneous speed must be equal to the average speed during the same period. That sounds like a nice theorem, and its proof ought to be good for some mathematical recreation, but it doesn't seem too useful.
Instantaneous speed is the speed of a body at any one instant. There is really no such thing as the instantaneous speed, it is merely the average speed over a very short space of time.