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## Homework Statement

The parameteric equations for the paths of two projectiles are given below. At what rate is the distance between the two objects changing at t = pi/2?

## Homework Equations

x

_{1}=12cos(2t) y

_{1}= 6sin(2t)

x

_{2}=6cos(t) y

_{2}= 7sin(t)

## The Attempt at a Solution

I am completely stuck. So I was thinking that I should use the distance formula

sqrt( (6cos(t) - 12cos(2t))

^{2}+ ( 7sin(t) - 6sin(2t))

^{2}))

then take the derivative of that then plug in pi/2 but that got really ugly and I think I am overcomplicating it.

I am looking for a hint here that is all. completely stuck

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