Problem 8 (15 pts) The follower motion profile for a cam-follower needs to fit the specifications below: a. Dwell (for 0.5 seconds). b. Accelerate to a speed of 6 in/sec (for 0.25 seconds). c. Remain at a constant velocity of 6 in/sec (for 1.25 seconds). d. Decelerate and return to the initial position (for 0.5 seconds). Your job is to design the polynomial $S(t)$, in terms of time $t$, for ONLY segment b. You do NOT need design the other three segments.

          Problem 8 (15 pts)
The follower motion profile for a cam-follower needs to fit the specifications below:
a. Dwell (for 0.5 seconds).
b. Accelerate to a speed of 6 in/sec (for 0.25 seconds).
c. Remain at a constant velocity of 6 in/sec (for 1.25 seconds).
d. Decelerate and return to the initial position (for 0.5 seconds).
Your job is to design the polynomial $S(t)$, in terms of time $t$, for ONLY segment b. You do NOT need
design the other three segments.