The table shows speedometer readings at 10-second intervals during a 1-minute period for a car racing at the Daytona International Speedway in Florida.

(a) Estimate the distance the race car traveled during this time period using the velocities at the beginning of the time intervals.

(b) Give another estimate using the velocities at the end of the time periods.

(c) Are your estimates in parts (a) and (b) upper and lower estimates? Explain.

Time(s)                                    Velocity (mi/h)

0......................................................182.9

10......................................................168.0

20......................................................106.6

30......................................................99.8

40......................................................124.5

50......................................................176.1

60......................................................175.6