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

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter11: Topics From Analytic Geometry
Section11.4: Plane Curves And Parametric Equations
Problem 20E
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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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