A vehicle’s
velocity (in feet per second) was measured every 5 seconds around a race
track and the data is as follows:

Time, t

0

5

10

15

20

25

30

V (t)

0

73

111

140

188

200

220

Use 6
rectangles to estimate the total distance traveled by the car during these 30
seconds by averaging the answer from using the right endpoints and the left
endpoints.

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Area of rectangle - Length * width (width of each rectangle = 5 units )

hence area of 1st rectangle = 73*5 =365

area of 2nd rectangle = 111*5 =555

area of 3rd rectangle = 140*5 =700

area of 4th rectangle = 188*5 =940

area of 5th rectangle = 200*5 =1000

area of 6th rectangle = 220*5 =1100

total distance travelled = 365 + 555 + 700 + 940 + 1000 + 1100 = 4660 ft

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Jul 15th, 2015

Answer of this question : 4660 ft (distance travelled in 30 sec)