The velocity graph of a car accelerating from rest to a speed of 60 km/h over a period of 30 seconds is shown. Estimate the distance traveled during this period.(Use M6 to get the most precise estimate. Round your answer to two decimal places.)kmv (km/h)604020t(seconds)0103020

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Asked Nov 9, 2019
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The velocity graph of a car accelerating from rest to a speed of 60 km/h over a period of 30 seconds is shown. Estimate the distance traveled during this period.
(Use M6 to get the most precise estimate. Round your answer to two decimal places.)
km
v (km/h)
60
40
20
t(seconds)
0
10
30
20
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The velocity graph of a car accelerating from rest to a speed of 60 km/h over a period of 30 seconds is shown. Estimate the distance traveled during this period. (Use M6 to get the most precise estimate. Round your answer to two decimal places.) km v (km/h) 60 40 20 t(seconds) 0 10 30 20

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Step 1

The velocity graph of a car accelerating from rest to a speed of 60 km/h over a period of 30 seconds is shown. Estimate the distance, d traveled during this period.

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km/h) 2a 20 30 10 (seconds)

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Step 2

Here M6 rule means use midpoint rule with n=6
Here the range is 0 to 30

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b-a So for midpointrule,Ar =- п 30 0 Ar 6 =5 1 For the midpoint rule,x midpoint of (x,x,) (x- +x,) 5 0 =2.5 2 105 = 7.5 2 10+15 =12.5 2 20+15 = 17.5 2 20 25 = 22.5 2 25+30 = 27.5 2 X6 =

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Step 3

Now estimate y values at those x values

Roughly they are 15,32,45,52,an...

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Ar 5sec 5 hours 3600 1 hours 720

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