Vector question. care travels around a track. .

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Homework Statement



a car travels around a track at a speed of 5 rev/s. the track begins with a radius of 35m and spirals such that the radius increases 5m/rev. give the speed and position of the car as functions of time. express your answers as polar vectors.



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The Attempt at a Solution



i don't get how to do it since the radius increases.
 
How about assuming constant angular momentum?

And one knows r as a function of theta, assuming the radius increases uniformly as it sweeps through one revolution (2pi or 360°).
 

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