Suppose the position of a particle in motion at time is given by the vector parametric equation r(t)=<4(t-2)^2,9,2t^3-6t^2 Find the speed of the particle at time t Find the time(s) when the particle is stationary. If there is more than one correct answer, enter your answers as a comma separated list.

Suppose the position of a particle in motion at time is given by the vector parametric equation r(t)=<4(t-2)^2,9,2t^3-6t^2 Find the speed of the particle at time t Find the time(s) when the particle is stationary. If there is more than one correct answer, enter your answers as a comma separated list.

Algebra & Trigonometry with Analytic Geometry

13th Edition

ISBN:9781133382119

Author:Swokowski

Publisher:Swokowski

Chapter3: Functions And Graphs

Section3.3: Lines

Problem 21E

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Question

Suppose the position of a particle in motion at time
is given by the vector parametric equation
r(t)=<4(t-2)^2,9,2t^3-6t^2 Find the speed of the particle at time t
Find the time(s) when the particle is stationary. If there is more than one correct answer, enter your answers as a comma separated list.

Quantities that have magnitude and direction but not position. Some examples of vectors are velocity, displacement, acceleration, and force. They are sometimes called Euclidean or spatial vectors.

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