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
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
College Physics
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Chapter1: Units, Trigonometry. And Vectors
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Problem 1CQ: Estimate the order of magnitude of the length, in meters, of each of the following; (a) a mouse, (b)...
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Displacement, Velocity and Acceleration
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The term "displacement" refers to when something shifts away from its original "location," and "linear" refers to a straight line. As a result, “Linear Displacement” can be described as the movement of an object in a straight line along a single axis, for example, from side to side or up and down. Non-contact sensors such as LVDTs and other linear location sensors can calculate linear displacement. Non-contact sensors such as LVDTs and other linear location sensors can calculate linear displacement. Linear displacement is usually measured in millimeters or inches and may be positive or negative.
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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](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F8afdd76b-9f8e-4d06-9032-45f89de6b192%2F88d87f6a-f062-4a2f-b1f9-dea75f4178ae%2F4ij8ru8_processed.png&w=3840&q=75)
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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