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) = (b) Find the acceleration, in m/s2, after 7 seconds. m/s2 (c) Find the acceleration, in m/s2, when the velocity is 0. m/s2

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Author:Jay Abramson
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Chapter6: Exponential And Logarithmic Functions
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Problem 51RE: The population of a city is modeled by the equation P(t)=256,114e0.25t where t is measured in years....
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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) =
a(t) =
(b) Find the acceleration, in m/s2, after 7 seconds.
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) = a(t) = (b) Find the acceleration, in m/s2, after 7 seconds. m/s2 (c) Find the acceleration, in m/s2, when the velocity is 0. m/s2
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