Posted by **Lucia** on Wednesday, October 3, 2012 at 7:17am.

The position of a particle moves along the equation X = Vo/K (1 - e^(-KT))

Vo and K are constants

a)determine the total distance that the particle moves

b) Show that the aceleration is derived from the velocity

c) Reason how it could take an infinite amount of time to move a definite distance

- Physics -
**Damon**, Wednesday, October 3, 2012 at 11:14am
a

as t --> oo, x --> Vo/k total distanced moved is Vo/k

b

v = (Vo/k)(ke^-kt) = Vo e^-kt

a = -Vo k e^-kt

c

as t gets large, velocity gets smaller and smaller and acceleration is always negative and also smaller and smaller.

- Physics -
**Lucia**, Sunday, October 7, 2012 at 10:20am
Thank you!

## Answer this Question

## Related Questions

- 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 ...
- Calculous - A particle moves along the c-axis so that at time t its position is ...
- Dynamics - The acceleration of a perticle as it moves along a straight line is ...
- math(mechanics) - the acceleration of a particle as it moves along a straight ...
- calculus - 5. A particle moves along the y – axis with velocity given by v(t)=...
- Calculus (Answer Check) - A particle moves along the x-axis so that its velocity...
- Calculus (Answer Check) - A particle moves along the x-axis so that its ...
- math - For 4.95 seconds , a particle moves in a straight line according to the ...
- math - For 4.95 seconds , a particle moves in a straight line according to the ...

More Related Questions