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## Homework Statement

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^

## Homework 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

## 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 !