$7\mathrm{.}2$ A cam that is designed for cycloidal motion drives a flat$-$faced follower. During the rise, the follower displaces $25$ mm for $\backslash (180^\{\backslash$circ$\}\backslash )$ of cam rotation. If the cam angular velocity is constant at $100$ rpm $,$ determine the displacement, velocity, and acceleration of the follower at a cam angle of $\backslash (60^\{\backslash$circ$\}\backslash ).$