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?
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?
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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Transcribed Image 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?
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