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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?

Algebra & Trigonometry with Analytic Geometry
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter11: Topics From Analytic Geometry
Section: Chapter Questions
Problem 18RE
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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?
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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