I couldn't sleep last night so my brain naturally went to physics.  I came up with a problem I couldn't get the answer to right away.  Over the course of the day I was able to come up with a solution.  Can you figure out this challenge?

Click "Read More" to see the problem...

You should all be familiar with the equation for centripetal acceleration:

a=V²/r

this turns into

dv/dt=v²/r

∫(r/V²)dv=∫dt

-r/V=t+C

V=-r/(t+C)

This of course when you consider, is nonsensical.  Velocity does not change over time in such a way.  In circular motion it changes direction, but not magnitude.  So where is the error?

I'll post the answer tomorrow!  Put your solution in the comments or take it to the forums!  To post in the forums you need an account, but if you make an account, you get full access to the site!

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