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## Homework Statement

The position of a particle at time t is given by r(t) = 3(t

^{2}- sin t)i +

tj - (cos t)k , and the position of another particle is R(t) = t

^{2}i + (t

^{3}+

t)j+(sin t)k . At time t = pi, what is the rate of change of the distance

between the two particles? Are they getting closer to one another, or

are they getting farther apart?

## Homework Equations

## The Attempt at a Solution

I'm actually not sure how to attempt this problem. I think that if the rate of change is postive they are getting farther apart and if it is negative they are getting closer, but I'm not sure.

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