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

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Question

Basic Math

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

t (s)00.51.01.52.02.53.0
v(ft/s)06.210.814.918.119.420.2

Part 1 of 5

We will use either L6 orR6 for the upper and lower estimates.

Since the runner's speed is an increasing function,then  

will give the lower estimate, and

will give the upper estimate.

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