The equation of motion of a particle is s = t³ - 27t, where s is measured in meters and t is in seconds. (Assume t≥ 0.) (a) Find the velocity and acceleration as functions of t. v(t) = a(t) = 31² - 27 6t (b) Find the acceleration, in m/s², after 5 seconds. 30 m/s² (c) Find the acceleration, in m/s2, when the velocity is 0. m/s²

Algebra: Structure And Method, Book 1
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ISBN:9780395977224
Author:Richard G. Brown, Mary P. Dolciani, Robert H. Sorgenfrey, William L. Cole
Publisher:Richard G. Brown, Mary P. Dolciani, Robert H. Sorgenfrey, William L. Cole
Chapter12: Quadratic Functions
Section12.8: Joint And Combined Variation
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The equation of motion of a particle is s = t³ - 27t, where s is measured in meters and t is in seconds. (Assume t > 0.)
(a) Find the velocity and acceleration as functions of t.
v(t) =
=
31² - 27
a(t) = 6t
(b) Find the acceleration, in m/s², after 5 seconds.
30
m/s²
(c) Find the acceleration, in m/s², when the velocity is 0.
m/s²
Transcribed Image Text:The equation of motion of a particle is s = t³ - 27t, where s is measured in meters and t is in seconds. (Assume t > 0.) (a) Find the velocity and acceleration as functions of t. v(t) = = 31² - 27 a(t) = 6t (b) Find the acceleration, in m/s², after 5 seconds. 30 m/s² (c) Find the acceleration, in m/s², when the velocity is 0. m/s²
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