Posted by **Millie** on Sunday, November 13, 2011 at 9:38pm.

At time t >or= to 0, the position of a particle moving along the x-axis is given by x(t)= (t^3/3)+2t+2. For what value of t in the interval [0,3] will the instantaneous velocity of the particle equal the average velocity of the particle from time t=0 to time t=3?

- Calculus -
**Steve**, Monday, November 14, 2011 at 9:07pm
The average velocity for t in [0,3] is the distance traveled divided by the time spent:

av = [x(3)-x(0)]/(3-0) = 17/3

So, we want t where x' = t^2 + 2 = 17/3

t^2 = 11/3, so t=1.9 seconds

- Calculus -
**Erin**, Thursday, February 4, 2016 at 10:51pm
That is wrong^ av=11-2/3= 9/3=3

## Answer This Question

## Related Questions

- Calculus - The position of a particle moving on a horizontal line is given by s(...
- Calculus - a particle starts at time t = 0 and moves along the x axis so that ...
- calculus - 5. A particle moves along the y – axis with velocity given by v(t)=...
- Calculus - The velocity of a particle moving along the x-axis is given by f(t)=6...
- AP CALC. AB - 1.The position of a particle moving on the line y = 2 is given by ...
- AP Calculus - The position of a particle moving on the x-axis at time t>0 ...
- Calculus-particle motion - 1. A particle is moving on the x-axis (or any number ...
- Calc - A particle moves along the x-axis in such a way that it's position in ...
- Calc - A particle moves along the x-axis in such a way that it's position in ...
- Calculus - The displacement (in meters) of a particle moving in a straight line ...

More Related Questions