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# A particle is moving with the given data. Find the position of the particle.$v(t) = \sin t - \cos t$, $\quad s(0) = 0$

## $$s(t)=-\cos t-\sin t+1$$

Derivatives

Differentiation

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##### Kristen K.

University of Michigan - Ann Arbor

##### Michael J.

Idaho State University

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### Video Transcript

Okay, The first thing we know is that we have You know, that velocity is the derivative of pushing right. So positions the inroads of velocity. Therefore, what we know is that because as of 00 we can write ass of zero is negative co sign zero minus sign zero plus a, which is equivalent to zero. Therefore, negative one plus a zero. Therefore a is positive one. Therefore, us of tea is negative. Coast Santi minus sign T plus are A or C, which is one

#### Topics

Derivatives

Differentiation

Volume

##### Kristen K.

University of Michigan - Ann Arbor

##### Michael J.

Idaho State University

Lectures

Join Bootcamp