1. The problem statement, all variables and given/known data A particle moves with constant speed ν around a circle of radius b, with the circle offset from the origin of coordinates by a distance b so that it is tangential to the y axis. Find the particle's velocity vector in polar coordinates. 2. Relevant equations (dots for time derivatives are a bit off centered) Position Vector: r = r ˆr Velocity Vector: v = ˙r ˆr + r ˙ θˆθ Angular Speed: ω = ˙ θ →(Integrating with respect to time)→ ωt = θ v = bω → ω = v/b 3. The attempt at a solution I found the equation of the graph to be r = 2bcosθ. Differentiating with respect to time i get ˙r = -2bsinθ˙ θ → ˙r = -2bωsinωt. Substituting the into the velocity vector i obtain: v = -2bωsinωtˆr + 2bωcosωtˆθ = -2vsin(vt/b)ˆr + 2vcos(vt/b)ˆθ what am i doing wrong here?, the book uses a confusing approach (confusing to me). For the velocity vector they have… v = −v sin(vt/2b)ˆr + v cos(vt/2b)ˆθ any help will be greatly appreciated.