Question

The plot below displays the velocity as a function of time for two physics students, Alan and Betty, for 10 seconds after a stopwatch is started at time0. Alan and Betty are both initially standing at the same position, defined as x -0, and subsequently move along a straight line that we define as our x-axis. The plot for Bettys velocity as a function of time vs() is itself a straight line while the plot for Alan is a quadratic (parabolic) function of time, va(t) 2.0- 0.81 0.080 (with t in seconds and v in m/sec). 2.0T Alan 1.5 Betty 1.0 0.5 0.0 5 2 4 time (seconds) 0 6 8 10
A. Write the equation vs(t) for Bettys velocity as a function of time over this 10 second interval. B. What is Bettys displacement, Ar, during this 10 second interval? C. What is Alans displacement during this interval? D. What is Bettys average acceleration, assuming she ends up traveling at 2.0 m/s as shown? E. What is Alans average acceleration? F. At what time(s), if ever, does Alan have zero acceleration? G. At what time(s), if ever, does Alans acceleration equal Bettys acceleration? H. At what time(s), if ever, does Alans velocity equal Bettys velocity? I. At what time(s), if ever, in this 10 second interval are Alan and Betty at the same position again after they leave x 0?
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Answer #1

Taking fuso points on the grap to got V(t) o,o) and 2 echys displacement valt 뇌ttx6) hial position - lo m , Alans displaceSo . Alans displacement=20m 3 Bellys avera, e acceleration slope the line se aveige accelcratfion -aton

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