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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)3 - (0.45 m/s2)2 + (1.74 m/s)t - 2.10 ml. (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) = (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 file chosen This answer has not been graded yet.

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)3 - (0.45 m/s2)2 + (1.74 m/s)t - 2.10 ml. (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) = (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 file chosen This answer has not been graded yet.

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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)3 - (0.45 m/s2)2 + (1.74 m/s)t - 2.10 ml. (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) = (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 file chosen This answer has not been graded yet.
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)3 - (0.45 m/s2)2 + (1.74 m/s)t - 2.10 ml. (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) = (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 file chosen This answer has not been graded yet.
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