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Homework Statement
An outdoor track is full circle of diameter 130 meters. A runner starts from rest and reaches her maximum speed in 4 seconds with constant tangential acceleration and then maintains that speed until she completes the circle with a total time of 54 seconds. Determine the magnitude of the maximum total acceleration of the runner
Homework Equations
[tex]a_t = \frac{dv}{dt}[/tex]
[tex]a_n = \frac{(v_t)^2}{r}[/tex]
[tex]a = \sqrt{(a_t)^2+(a_n)^2}[/tex]
The Attempt at a Solution
Ugh.. I attempted this problem for about thirty minutes and realized I needed some help. Can someone give me some guidelines? If I am able to find the maximum tangential velocity somehow, then I think I can do the problem, but I just cannot find it.
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