12. The function represents the position of a body along a straight line in t seconds is given by S(t) = 2t3 - 2lt? - 108t +24 meters. Find velocity and acceleration functions of the body and then determine the time intervals when the body is slowing down or speeding up. %3D

Intermediate Algebra
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Chapter9: Functions
Section9.1: Relations And Functions
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12. The function represents the position of a body along a straight line in t seconds is given by
S(t) = 2t3 - 21t2 - 108t + 24 meters. Find velocity and acceleration functions of the body and then
determine the time intervals when the body is slowing down or speeding up.
Transcribed Image Text:12. The function represents the position of a body along a straight line in t seconds is given by S(t) = 2t3 - 21t2 - 108t + 24 meters. Find velocity and acceleration functions of the body and then determine the time intervals when the body is slowing down or speeding up.
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