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

Question

The speed of runner increased steadily during the first 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.

4.-2 points SCalcET8 5.1.013 MI The speed of a runner increased steadily during the first three seconds of a race. Her speed ft (smaller value ft (larger value) t (s) o o.5 1.0 1.5 2.0 2.5 3.0 v (t/s) | 6.7 | 9.2 | 14.1 | 18.8 | 19.8 | 20 Need Help? Read It Watch It Master It Talk to a Tutor

Explanation / Answer

Solution:

Given data

20

v=d/t_____v*t=d

Then

1)

6.7*0.5 = 3.35

Now 3.35 - 0 = 3.35 (d1) Lower estmate

2)

9.2*1 = 9.2

Now 9.2 - 3.35 = 5.85 (d2)

3)

14.1*1.5 = 21.15

Now 21.15 - 9.2 = 11.95 (d3)

4)

18.8*2 = 37.6

Now 37.6 - 21.15 = 16.45 (d4) Upper Estimate

5)

19.8*2.5 = 49.5

Now 49.5 - 37.6 = 11.9 (d5)

6)

20*3 = 60

Now 60 - 49.5 = 10.5 (d6)

t(s) 0 0.5 1.0 1.5 2.0 2.5 3.0 v (ft/s) 0 6.7 9.2 14.1 18.8 19.8

20

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