1. The problem statement, all variables and given/known data An object travels counterclockwise on a circular path with radius R and constant angular acceleration α, so that vector r(t) = R cos(αt^2/2) i^+ R sin(αt^2/2) j^ 2. Relevant equations b. Find the time T when the object made a single revolution and returned to its original position. Evaluate vectors r, v, and a at both t = 0 and t = T. c. Show by computation that at t = T, the acceleration vector is the sum of a part parallel to the velocity vector with magnitude dv/dt , and a part perpendicular to the velocity vector with magnitude v^2/R 3. The attempt at a solution I am calculating based on the fact that the object will travel a distance of 2πR at the time it made a revolution, but it doesn't work !