3. The position of a Roomba is given by the function s(t) = ť - 21 + 120r, where time, 1, is in seconds, and distance from its docking station, s, is in centimetres. a) Determine the corresponding...

Extracted text: 3. The position of a Roomba is given by the function s(t) = ť - 21 + 120r, where time, 1, is in seconds, and distance from its docking station, s, is in centimetres. a) Determine the corresponding velocity and acceleration functions. b) Is the Roomba accelerating, decelerating, moving at a constant speed or stopped at t = 8 seconds? c) During which time interval(s), if any, is the Roomba moving towards the starting point? Does it ever return to its docking station?