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^
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
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 !