# The speed of a runner steadily increased during the first three seconds of a race. Her speed at...

## Question:

The speed of a runner increased steadily during the first three seconds of a race. Her speed at half-second intervals is given in the table. Find lower and upper estimates for the distance that she traveled during these three seconds.

{eq}\displaystyle \begin{array}{|l|c|c|c| c| c| c| c|} \hline \text{t (s)}&0&0.5&1.0&1.5&2.0&2.5&3.0\\ \hline \text{v (ft/s)}&0&6.7&9.2&14.1&17.5&19.4&20.2\\ \hline \end{array} {/eq}

## Upper and Lower Limit:

If any data is given, then the upper limit is the sum of all the observation barring the first observation divided by two. The lower limit is the sum of all the observation barring the last observation divided by two.

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