Everyday application: Suppose a yo$-$yo has a center shaft that has a $0\mathrm{.}250$ cm radius and that its string is being pulled.

$($a$)$ If the string is stationary and the yo$-$yo accelerates away from it at a rate of $1\mathrm{.}50$m$/$s$21\mathrm{.}50$m$/$s$2,$ what is the angular acceleration of the yo$-$yo$?$

$($b$)$ What is the angular velocity after $0\mathrm{.}750$ s if it starts from rest?

$($c$)$ The outside radius of the yo$-$yo is $3\mathrm{.}50$ cm$.$ What is the tangential acceleration of a point on its edge?