In a cam design, the rise motion is given by a simple Harmonic Motion (SHM) S=$\frac{h}{2}\left ( 1-\cos \frac{\Pi \Theta }{\beta } \right )$ 
where h is total rise, $\Theta$ is camshaft angle, $\beta$ is the total angle of the rise interval. The jerk is given by
(a)$\frac{h}{2}\left ( 1-\cos \frac{\Pi \Theta }{\beta } \right )$ (b)$\frac{\Pi }{\beta }\frac{h}{2}\sin \left ( \frac{\Pi \Theta }{\beta } \right )$
(c)$\frac{\pi ^{2}}{\beta ^{2}} \frac{h}{2}\cos \left ( \frac{\Pi \Theta }{\beta } \right )$ (d)-$\frac{\pi ^{3}}{\beta ^{3}} \frac{h}{2}\sin \left ( \frac{\Pi \Theta }{\beta } \right )$