3-Dimensional Related Rate Problem

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atrub
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Homework Statement



A helicopter traveling east at 100 m/s and an elevation of 1500 meters kicks a package northward at 5 m/s. The helicopter then decelerates at 3 m/s^2. How fast is the distance between the copter and package changing at t=4 seconds?

Homework Equations



Distance=sqrt((x2-x1)^2+(y2-y1)^2+(z2-z1)^2)

The Attempt at a Solution



I took the derivative of the distance formula and plugged in the values from the word problem. I would just like to verify my answer, which was 34.19 m/s.

Homework Statement





Homework Equations





The Attempt at a Solution

 

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