A disk cam rotates at a constant speed of 300 RPM and drives a translating roller follower through a rise of 1.5 inches in 150 degrees of cam rotation. The displacement of the follower during the rise is given by the expression:
y= (h/2) [1-cos(pi*theta/beta)-1/4(1-cos(2*pi*theta/beta))]
Find the maximum values of velocity and acceleration, and the angles at which these maximum values occur during the rise. (hint: cos2x=2cos^2x-1 and sin2x=2sinxcosx). Solve using calculus.