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

Derive the equations for the velocity and acceleration vectors of a particle in polar coordinates.

2. The attempt at a solution

r = xi + yj

where x = rCos[tex]\Theta[/tex], y = rSin[tex]\Theta[/tex]

r = r(Cos[tex]\Theta[/tex]i + Sin[tex]\Theta[/tex]j)

v = [tex]\frac{d}{dt}[/tex]r

v = [tex]\frac{d}{dt}[/tex][r(Cos[tex]\Theta[/tex]i + Sin[tex]\Theta[/tex]j)]

And I know the answer is:

v = r[dot] + r(theta[dot])

But I just don't know how to actually differentiate the expression for r with respect to time, do I treat r and theta as constants, or how does it work?

Thanks.

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# Homework Help: An Insight into Polar Co-ordinate Velocity

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