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Hi there!

I have a problem to find an equation of r(t), which will help me to describe motion of blue dot. I have seen many cases where there is a linear motion and you can write φ=ωt , r=V

r = at

I have a problem to find an equation of r(t), which will help me to describe motion of blue dot. I have seen many cases where there is a linear motion and you can write φ=ωt , r=V

_{0}t, but here there is an acceleration. I think I can write φ=εt^{2}/2, but what about r(t) ? I have tried differencial equationr = at

^{2}/2 + r_{0}→ r = (r''-rφ')t^{2}/2 + r_{0}, but not sure if it's right. I need all this to have equation of path r(φ). r_{0}is initial position of blue dot, where V_{0}=0 and ω=0. Cheers!
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