4. The position of a particle moving along a horizontal path is given by s(t) = t³ - 4t² - 3t+8, where t is in seconds. (a) Find the velocity and acceleration of the particle at any time t. (b) Determine the time interval(s) when the particle is speeding up or slowing down.

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Chapter1: Functions And Models
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4. The position of a particle moving along a horizontal path is given by s(t) = t³ - 4t² – 3t+8, where
t is in seconds.
(a) Find the velocity and acceleration of the particle at any time t.
(b) Determine the time interval(s) when the particle is speeding up or slowing down.
Transcribed Image Text:4. The position of a particle moving along a horizontal path is given by s(t) = t³ - 4t² – 3t+8, where t is in seconds. (a) Find the velocity and acceleration of the particle at any time t. (b) Determine the time interval(s) when the particle is speeding up or slowing down.
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