A particle moves along a straight line and its position at time t is given by s(t) = 2t3 - 21t2 + 72t, t>0 where s is measured in feet and t in seconds. (A) Use interval notation to indicate the time interval or union of time intervals when the particle is moving forward and backward. .... Forward: Backward: (B) Use interval notation to indicate the time interval(s) when the particle is speeding up and slowing down. ................... Speeding up: Slowing down:

Functions and Change: A Modeling Approach to College Algebra (MindTap Course List)
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ChapterP: Prologue: Calculator Arithmetic
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A particle moves along a straight line and its position at timet is given by
s(t) = 2t3 - 21t2 + 72t,
t > 0
where s is measured in feet and t in seconds.
(A) Use interval notation to indicate the time interval or union of time intervals when the particle is moving forward and backward.
Forward:
Backward:
(B) Use interval notation to indicate the time interval(s) when the particle is speeding up and slowing down.
Speeding up:
Slowing down:
Transcribed Image Text:A particle moves along a straight line and its position at timet is given by s(t) = 2t3 - 21t2 + 72t, t > 0 where s is measured in feet and t in seconds. (A) Use interval notation to indicate the time interval or union of time intervals when the particle is moving forward and backward. Forward: Backward: (B) Use interval notation to indicate the time interval(s) when the particle is speeding up and slowing down. Speeding up: Slowing down:
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