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.) Find the velocity and acceleration as functions of t. v(t) = a(t) = Find the acceleration, in m/s2, after 5 seconds. m/s² 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.)
Find the velocity and acceleration as functions of t.
v(t) =
a(t)
Find the acceleration, in m/s2, after 5 seconds.
m/s²
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.) Find the velocity and acceleration as functions of t. v(t) = a(t) Find the acceleration, in m/s2, after 5 seconds. m/s² Find the acceleration, in m/s2, when the velocity is 0. m/s²
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