24. Distance traveled The accompanying table shows time-to- speed data for a sports car accelerating from rest to 130 mph. How far had the car traveled by the time it reached this speed? (Use trapezoids to estimate the area under the velocity curve, but be careful: The time intervals vary in length.) Time (sec) Speed change 2.2 Zero to 30 mph 40 mph 3.2 50 mph 4.5 60 mph 5.9 70 mph 7.8 10.2 80 mph 12.7 90 mph 100 mph 16.0 20.6 110 mph 26.2 120 mph 130 mph 37.1

Question
24. Distance traveled The accompanying table shows time-to-
speed data for a sports car accelerating from rest to 130 mph. How
far had the car traveled by the time it reached this speed? (Use
trapezoids to estimate the area under the velocity curve, but be
careful: The time intervals vary in length.)
Time (sec)
Speed change
2.2
Zero to 30 mph
40 mph
3.2
50 mph
4.5
60 mph
5.9
70 mph
7.8
10.2
80 mph
12.7
90 mph
100 mph
16.0
20.6
110 mph
26.2
120 mph
130 mph
37.1

Image Transcription

24. Distance traveled The accompanying table shows time-to- speed data for a sports car accelerating from rest to 130 mph. How far had the car traveled by the time it reached this speed? (Use trapezoids to estimate the area under the velocity curve, but be careful: The time intervals vary in length.) Time (sec) Speed change 2.2 Zero to 30 mph 40 mph 3.2 50 mph 4.5 60 mph 5.9 70 mph 7.8 10.2 80 mph 12.7 90 mph 100 mph 16.0 20.6 110 mph 26.2 120 mph 130 mph 37.1

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