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(Solved):   \( (8 \%) \) Problem 6: The position of a moving object was measured at various times and ...



\( (8 \%) \) Problem 6: The position of a moving object was measured at various times and the results are shown in the table

 

\( (8 \%) \) Problem 6: The position of a moving object was measured at various times and the results are shown in the table and graphed in the figure. Take the slope of the curve to determine the velocity, in meters per second, at time \( t=30.0 \mathrm{~s} \).


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The slope can be calculated manually as follows: where (x1,y1) and (x2,y2) are any two points in the graph. Take (x1,y1)=(40.4,11.8) and (x2,y2)=(49.5,14.2) now hence velocity v=0.2634 km/s=0.2634*1000 =263.4 m
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