Let s(t) = 6t³ – 9t² – 216t be the equation of motion for a particle. Assume -∞

Calculus: Early Transcendentals
8th Edition
ISBN:9781285741550
Author:James Stewart
Publisher:James Stewart
Chapter1: Functions And Models
Section: Chapter Questions
Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...
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Let s(t) = 6t³ — 9t² 216t be the equation of motion for a particle. Assume - < t <∞.
A) Find a function for the velocity.
v(t) =
B) At what time does the object change direction?
t =
and t =
C) What is the velocity when the acceleration is 0?
D) In what direction is the object moving when acceleration is 0?
backward
not moving
O forward
Transcribed Image Text:Let s(t) = 6t³ — 9t² 216t be the equation of motion for a particle. Assume - < t <∞. A) Find a function for the velocity. v(t) = B) At what time does the object change direction? t = and t = C) What is the velocity when the acceleration is 0? D) In what direction is the object moving when acceleration is 0? backward not moving O forward
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