QuestionWatch VideoShow ExamplesThe position of an object moving in a straight line, in kilometers, can be modeled by the function s( where t is measured in days. The velocity of the object is 2 kilometers per day when t=5. Selected values of s(t) are shown in the table below. Use a linear approximation when t=5 to estimate the position of the object at time t=4.8. Use proper units.\begin{tabular}{|c|c|c|c|c|c|c|}\hlinet & 0 & 5 & 8 & 13 & 18 & 20 \\\hlines(t) & 30 & 40 & 55 & 80 & 90 & 100 \\\hline\end{tabular}
Q. QuestionWatch VideoShow ExamplesThe position of an object moving in a straight line, in kilometers, can be modeled by the function s( where t is measured in days. The velocity of the object is 2 kilometers per day when t=5. Selected values of s(t) are shown in the table below. Use a linear approximation when t=5 to estimate the position of the object at time t=4.8. Use proper units.\begin{tabular}{|c|c|c|c|c|c|c|}\hlinet & 0 & 5 & 8 & 13 & 18 & 20 \\\hlines(t) & 30 & 40 & 55 & 80 & 90 & 100 \\\hline\end{tabular}
Determine Slope Velocity: Determine the slope of the velocity between t=5 and t=8 using the given s(t) values.
Estimate Position at t=4.8: Use the slope to estimate the position at t=4.8, starting from t=5.
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