I'm having a slight brain fart :P
Given x(t)=2te^(-t)
Determine the average velocity of the particle from time t=0 to time t=5

would this be something like (1/5) int from 0 to 5 of v(t) ? :3

Question

I'm having a slight brain fart :P
Given x(t)=2te^(-t)
Determine the average velocity of the particle from time t=0 to time t=5

would this be something like (1/5) int from 0 to 5 of v(t) ? :3

mathmale · Answer

Hello, JP!

You've asked, would this be something like (1/5) int from 0 to 5 of v(t) ?"  Yes, with two caveats:

1)  the integral of x(t) from t=0 to 5 (not of v(t), and
2)  we'll need to divide that result by the time interval (5-0).

Good luck!

jigglypuff314 · Answer

So the concept is correct? :) alright, Thank You!

mathmale · Answer

Oh, yes, you're right on target to find the average value of that function v(t) over the time interval [0,5].