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The accompanying table gives data for the velocity of a vintage sports car accelerating from 0 to 137 mi/h in 36 sec (10 thousandths of

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The accompanying table gives data for the velocity of a vintage sports car accelerating from 0 to 137 mi/h in 36 sec (10 thousandths of an hour). Complete parts (a) and (b). Velocity Velocity Time (h) (mi/h) Time (h) (mi/h) 160- 140- 0.0 0 0.006 111 120- 0.001 39 0.007 119 100- miles per hour 80- 0.002 62 0.008 126 60- 0.003 40- 79 0.009 132 20- 0.004 92 0.010 137 0- 0 0.002 0.004 0.006 0.008 0.01 0.005 102 hours . . . a. Use rectangles to estimate how far the car traveled during the 36 seconds it took to reach 137 mi/h. What should be the length of each subinterval? (Type an integer or decimal rounded to the nearest thousandth as needed.)

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