Spiraling particle A particle moves outward along a spiral. Its trajectory is given by r = Aθ, where A is a constant. A = (1/π) m/rad. θ increases in time according to θ = αt2/2, where α is a constant.
(a) Sketch the motion, and indicate the approximate velocity and acceleration at a few points.
(b) Show that the radial acceleration is zero when θ = 1/ √ 2 rad.
(c) At what angles do the radial and tangential accelerations have equal magnitude