An eccentric circular cam, which serves a similar function as the Scotch yoke mechanism in Problem $11\mathrm{.}13,$ is used in conjunction with a flat face follower to control motion in pumps and in steam engine valves. Knowing that the eccentricity is denoted by $e,$ the maximum range of the displacement of the follower is $d_{\text{m}\text{a}\text{x}}$ and the maximum velocity of the follower is $v_{\text{m}\text{a}\text{x}}$ determine the displacement, velocity, and acceleration of the follower.