Roger nuns a marathon His friend Xeff rides behind him on a bicycle and clocks h

Question

Roger nuns a marathon His friend Xeff rides behind him on a bicycle and clocks his speed every 15 minutes. Roger starts out strong, but after an hour and a hait he is so eft's data follows exhausted that he has to stop Time since start (min) o l 15 30 | 45 | 60 | 75 90 distance Roger ran during the first hailf hour (a) Assuming that Roger's speed is never increasing, give upper and lower estimates for the 525 (b) Give upper and lower estimates for the distance Roger ran in total during the entire hour and a haif miles (lower estimate) miles (upper estimate) miles (lower estimate) miles (upper estimate) n order to find l lower and upper estimates within 0.1 mile of the actual distance he ran? (c) How often would Jeff have needed to meesure Roger's speed i every 0.8 x minutes velocities take you away from home and negative velocities take you toward you The ngure gves your velocty during a tio starting from heme. Postive e (km/hr)

Explanation / Answer

(c) The difference between Roger's pace at the beginning and the end of his run is 11 mph

now let the time between the measurement is h then the differnece between upper and lower estimate is 11h

and to find h for 11h<0.1

=> h<0.1/11=0.00909 hour=0.00909*60 sec=0.5454 minute

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