You and a companion are about to drive a twisty stretch of dirt road in a car whose speedometer works but whose odometer (mileage counter) is broken. To find out how long this particular stretch of road is, you record the car’s velocity at 10-sec intervals, with the results shown in the accompanying table. Estimate the length of the road using

a. Left-endpoint values.

b. Right-endpoint values.

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Velocity Time (converted to ft/sec) (sec) (30 mi/h = 44 ft/sec) 0 10 20 30 40 50 60 0 44 15 35 30 44 35 Time (sec) 70 80 90 100 110 120 Velocity (converted to ft/sec) (30 mi/h = 44 ft /sec) 15 22 35 44 30 35