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# math help! i hate integrating :(?

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 below. Find lower and upper estimates of the distance she covered during the first three seconds of the race.

The lower estimate is

The upper estimate is

t(sec) 0 0.5 1 1.5 2 2.5 3

v(ft/sec) 0 6.3 12.1 16.2 19.3 20.3 20.9

### 1 Answer

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- 9 years agoFavorite Answer
Left riemann sum = .5(0+6.3+12.1+16.2+19.3+20.3)

= .5(74.2)

= 37.1 feet

Right riemann sum = .5(74.2-0+20.9)

= .5(95.1)

= 47.55 feet

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