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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.

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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 (in ft) 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 5.7 9.2 4. 17.5 19.4 20.2 lower X ft upper X ft

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