The equation of motion of a particle is s= = t³ – 3t, where s is 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 after 5 s. m/s² (c) Find the acceleration when the velocity is 0. m/s²

The equation of motion of a particle is s= = t³ – 3t, where s is 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 after 5 s. m/s² (c) Find the acceleration when the velocity is 0. m/s²

Algebra: Structure And Method, Book 1

(REV)00th Edition

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

Problem 7P

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Question

The equation of motion of a particle is s = t³ - 3t, where s is 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 after 5 s.
m/s²
(c) Find the acceleration when the velocity is 0.
m/s²

Expert Solution

Step 1

$g i v e n s = t^{3} - 3 t \frac{d}{d t} (t^{n}) = n t^{n - 1} \frac{d}{d t} (c o n s \tan t) = 0$

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