dancer moves mension back and forth across the stage. X(t) = [(0.02 m/s³)t³ - (0.37 m/s2)² + (1.82 m/s)t - 2.18 m. (a) Find an expression for the dancer's velocity as a function of time. (Assume SI units. Do not include units in your answer. Use the following as necessary: t.) î (c) = end of the stage nearest to her is considered to be the origin of an x axis that runs parallel to the stage, her position, as a function of time, is given by (b) Graph the velocity as a function of time for the 14 s over which the dancer performs (the dancer begins when t = 0) and use the graph to determine when the dancer's velocity is equal to 0 m/s. (Submit a file with a maximum size of 1 MB.) Choose File No fille chosen

Principles of Physics: A Calculus-Based Text
5th Edition
ISBN:9781133104261
Author:Raymond A. Serway, John W. Jewett
Publisher:Raymond A. Serway, John W. Jewett
Chapter1: Introduction And Vectors
Section: Chapter Questions
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A dancer moves in one dimension back and forth across the stage. If the end of the stage nearest to her is considered to be the origin of an x axis that runs parallel to the stage, her position, as a function of time, is given by
X(t) = [(0.02 m/s³)t³ — (0.37 m/s²)t² + (1.82 m/s)t - 2.18 m].
(a) Find an expression for the dancer's velocity as a function of time. (Assume SI units. Do not include units in your answer. Use the following as necessary: t.)
v(t) =
î
(b) Graph the velocity as a function of time for the 14 s over which the dancer performs (the dancer begins when t = 0) and use the graph to determine when the dancer's velocity is equal to 0 m/s. (Submit a file with maximum size of 1 MB.)
Choose File No file chosen
Transcribed Image Text:A dancer moves in one dimension back and forth across the stage. If the end of the stage nearest to her is considered to be the origin of an x axis that runs parallel to the stage, her position, as a function of time, is given by X(t) = [(0.02 m/s³)t³ — (0.37 m/s²)t² + (1.82 m/s)t - 2.18 m]. (a) Find an expression for the dancer's velocity as a function of time. (Assume SI units. Do not include units in your answer. Use the following as necessary: t.) v(t) = î (b) Graph the velocity as a function of time for the 14 s over which the dancer performs (the dancer begins when t = 0) and use the graph to determine when the dancer's velocity is equal to 0 m/s. (Submit a file with maximum size of 1 MB.) Choose File No file chosen
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