- #1

- 24

- 0

What is the difference in finding the average velocity over an interval given the position function, s(t), and the velocity function, v(t)?

I don't get it?

You are using an out of date browser. It may not display this or other websites correctly.

You should upgrade or use an alternative browser.

You should upgrade or use an alternative browser.

- Thread starter olicoh
- Start date

- #1

- 24

- 0

What is the difference in finding the average velocity over an interval given the position function, s(t), and the velocity function, v(t)?

I don't get it?

- #2

Mark44

Mentor

- 35,393

- 7,271

What is the difference in finding the average velocity over an interval given the position function, s(t), and the velocity function, v(t)?

I don't get it?

v(t) is a function that tells you the velocity at any instant t. So for example, if you drive somewhere in a car, it might be that v(5 min) = 25 mph, v(10 min) = 60 mph, and v(15 min) = 0 mph.

The average velocity is defined as 1/(total time) * an integral of the velocity. If you were able to stay at the same velocity throughout some time interval, the average velocity would be identical to v(t) at any time in that interval.

- #3

- 24

- 0

v(t) is a function that tells you the velocity at any instant t. So for example, if you drive somewhere in a car, it might be that v(5 min) = 25 mph, v(10 min) = 60 mph, and v(15 min) = 0 mph.

The average velocity is defined as 1/(total time) * an integral of the velocity. If you were able to stay at the same velocity throughout some time interval, the average velocity would be identical to v(t) at any time in that interval.

I still don't see the difference though?

- #4

Mark44

Mentor

- 35,393

- 7,271

- #5

- 24

- 0

That makes more sense. Thank you!!!

Share: