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The 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.





t
0
5
8
13
18
20



s(t)
30
40
55
80
90
100

Question\newlineWatch Video\newlineShow Examples\newlineThe position of an object moving in a straight line, in kilometers, can be modeled by the function s( s( where t t is measured in days. The velocity of the object is 22 kilometers per day when t=5 t=5 . Selected values of s(t) s(t) are shown in the table below. Use a linear approximation when t=5 t=5 to estimate the position of the object at time t=4.8 t=4.8 . Use proper units.\newline\begin{tabular}{|c|c|c|c|c|c|c|}\newline\hlinet t & 00 & 55 & 88 & 1313 & 1818 & 2020 \\\newline\hlines(t) s(t) & 3030 & 4040 & 5555 & 8080 & 9090 & 100100 \\\newline\hline\newline\end{tabular}

Full solution

Q. Question\newlineWatch Video\newlineShow Examples\newlineThe position of an object moving in a straight line, in kilometers, can be modeled by the function s( s( where t t is measured in days. The velocity of the object is 22 kilometers per day when t=5 t=5 . Selected values of s(t) s(t) are shown in the table below. Use a linear approximation when t=5 t=5 to estimate the position of the object at time t=4.8 t=4.8 . Use proper units.\newline\begin{tabular}{|c|c|c|c|c|c|c|}\newline\hlinet t & 00 & 55 & 88 & 1313 & 1818 & 2020 \\\newline\hlines(t) s(t) & 3030 & 4040 & 5555 & 8080 & 9090 & 100100 \\\newline\hline\newline\end{tabular}
  1. Determine Slope Velocity: Determine the slope of the velocity between t=5t=5 and t=8t=8 using the given s(t)s(t) values.
  2. Estimate Position at t=4.8t=4.8: Use the slope to estimate the position at t=4.8t=4.8, starting from t=5t=5.

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