The accompanying table shows time-to-speed data for a particular 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. Notice that intervals vary in length.) The car will travel ft by the time it reaches this speed.
|
Speed change
|
Time (sec)
|
|
Zero to
|
30 mph
|
2.2
|
|
40 mph
|
3.6
|
|
50 mph
|
5.3
|
|
60 mph
|
7.1
|
|
70 mph
|
9.4
|
|
80 mph
|
12.2
|
|
90 mph
|
15.1
|
|
100 mph
|
18.8
|
|
110 mph
|
23.8
|
|
120 mph
|
29.8
|
|
130 m h
|
41.1
|