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A student drives a mapped along a straight road as described by the velocity ver

ID: 1571300 • Letter: A

Question

A student drives a mapped along a straight road as described by the velocity versus time graph In the figure The divisions along the horizontal axis represent 1.0 and the divisions along the vertical axis represent 4.0 m/s. sketch this graph in the middle of a sheet of graph paper. (Do this en paper. Your will need it to do part (a) and (b) Directly above your graph. Sketch a graph of the position versus time, aligning the time coordinates of the two graphs. (Do this on paper. Your instructor may ask you to turn in your work.) Sketch a graph, of the acceleration versus time directly below the velocity versus time graph, again aligning the time coordinates. on each graph, show the numerical values of x and S_x for all points of inflection (do this on paper your instructor may ask you to turn in your work) what is the acceleration at t = 0.0s? your response differs significantly from the correct answer rework your solution from the beginning and check each step carefully m/s^2 find the position (relative to the starting point)at t = 6.0s what is the final position at c = 9.0 s?

Explanation / Answer

[c]

At t= 6sec, Vx= 8 m/s, Hence ax= Vx/t= 1.33 m/s2 [slope of the graph]

[d]

Position at t= 6sec is

d= Vx*t= 8 m/s* 6s= 48 m [ Area of the graph]

[e]

Position at t= 9sec is

d= Vx*t= -15 m/s* 9s= -135 m [ negative displacement ]

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