A ball attached to a string is spinning on a table (ignore any kind of friction), and its angular acceleration is α = 2rad/s. The radius of the trajectory R = 0.4m. Assume that the ball starts from rest, so that ω= 0rad/s at the point θo = 0rad.
1. Find the tangential velocity and tangential acceleration as a function of time.
2. Will the cetripetal accleration decrease or increase with time. Explain your reasoning.