I'm suppossed to find the average acceleration of the mass during the time interval from -t to t.(adsbygoogle = window.adsbygoogle || []).push({});

The formula I'm using is [tex]a(-t,t)=\frac{(v(t)-v(-t))}{(t-(-t))} [/tex]

I've already derived v(t) and v(-t) but I'm not sure how to simplify them after subtracting them.

[tex]v(t)=-R\omega sin(\omega t)*\hat{x}+R\omega cos(\omega t)\hat{y}[/tex]

[tex]v(-t)=-R\omega sin(\omega (-t))\hat{x}+R\omega cos(\omega (-t))\hat{y}[/tex]

I got as far as grouping the x and y terms...after that I don't know how else to simplify

[tex][(-R \omega \hat{x}) ((sin(\omega t)+sin(\omega (-t))] + [(R \omega \hat{y}) ((cos \omega t) -cos (\omega (-t))] [/tex]

Any help is appreciated.

thanks!

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# Homework Help: Math Help

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