The accompanying table gives data for the velocity of a vintage sports car accelerating from 0 to 142 mi / h in 36 sec (10 thousandths of an hour).

a. Use rectangles to estimate how far the car traveled during the 36 sec it took to reach 142 mi / h.

b. Roughly how many seconds did it take the car to reach the halfway point? About how fast was the car going then?

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Time (h) 0.0 0.001 0.002 0.003 0.004 0.005 Velocity (mi/h) 0 40 62 82 96 108 Time (h) 0.006 0.007 0.008 0.009 0.010 Velocity (mi/h) 116 125 132 137 142