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!

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