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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.

t (s)         0     0.5    1.0     1.5    2.0     2.5    3.0

v (ft/s)     0     6.2   10.8    14.9  18.1   19.4   20.2

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