(adsbygoogle = window.adsbygoogle || []).push({}); 1. The problem statement, all variables and given/known data

A particle moves around the ellipse ((y/3)^2)+((z/2)^2)=1 in the yz-plane in such a way that its position at time t is r(t)=(3cost)j+(2sint)k. Find the maximum and minimum values of |v| and |a|. (Hint: Find the extreme values of |v|^2 and |a|^2 first and take square roots later.)

2. Relevant equations

v(t)= (-3sint)j+(2cost)k

a(t)= (-3cost)j+(-2sint)k

|v|= sqrt(((-3sint)^2)+((2cost)^2))

|a|= sqrt(((-3cost)^2)+((-2sint)^2))

3. The attempt at a solution

I got those equations, but our teacher never showed us how to find the extrema of these equations. Coming out of a horrible calc II class, I'm not exactly sure how to evaluate these. Our current teacher has a bad habit of teaching the class after the homework's due...

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# Homework Help: Finding maximum and minimum values of vel. and acc. of a particle on an ellipse

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