Instantaneous and average speed

[alyafey22]

Can instantaneous and average speed be equal to each other in any why ? if it can can you please give me an example ??

 

[cepheid]

Can instantaneous and average speed be equal to each other in any why ? if it can can you please give me an example ??

Here's one situation in which they are equal. If the speed is constant, then the instantaneous and the average speed are the same. In other words, the speed at any instant is equal to the speed you calculate by taking the total distance traveled and dividing it by the time taken to travel that distance.

 

[ashishsinghal]

Be a more specific. Do you want to take average from the time when it was at rest to the instant at which you are taking instantaneous speed or average over a sufficiently long time. Also is it a theoretical case or purely practical?

 

[LostConjugate]

Instantaneous speed is just the average speed taken over a small time interval. If you take average speeds over different time intervals they may or many not be equal.

 

[PJC01]

Instantaneous speed refers to the speed of an object at a specific moment in time, while average speed is the total distance traveled divided by the total time taken. It is possible for instantaneous and average speed to be equal to each other in certain situations.

For example, if a car travels at a constant speed of 60 miles per hour for 2 hours, then the average speed would be equal to the instantaneous speed at any given moment during those 2 hours. This is because the car is maintaining a constant speed and therefore the instantaneous speed at any moment would also be 60 miles per hour.

However, in most cases, instantaneous and average speed will not be equal to each other. This is because an object's speed can vary throughout its motion, resulting in different instantaneous speeds at different moments. For instance, if a car travels at 60 miles per hour for the first hour and then slows down to 40 miles per hour for the second hour, the average speed would be 50 miles per hour, but the instantaneous speed at each hour would be different.

In conclusion, instantaneous and average speed can be equal to each other in certain situations, but it is not always the case. It ultimately depends on the motion of the object and whether it maintains a constant speed or not.