Design 4-5-6-7 polynomial for double-dwell cam follower with the following specifications. Design the profile for rise only. Find also peak velocity (m/s), acceleration (m/s2) and jerk (m/s3) during rise.
Dwell: at zero displacement for 90 degree
Rise: 12mm in 90 degree
Dwell: at 12mm for 90 degree
Fall: 12mm in 90 degree
Cam speed = 14 rad/s