Roger runs a marathon. His friend Jeff rides behind him on a bicycle and clocks

Question

Roger runs a marathon. His friend Jeff rides behind him on a bicycle and clocks his speed every 15 minutes. Roger starts out strong, but after an hour and a half he is so exhausted that he has to stop. Jeff's data follow: Assuming that Roger's speed is never increasing, give upper and lower estimates for the distance Roger ran during the first half hour. Lower estimate = miles Upper estimate = miles Give upper and lower estimates for the distance Roger ran in total during the entire hour and a half. Lower estimate = miles Upper estimate = miles A car accelerates smoothly from 0 to 30 mph in 10 seconds with the velocity given in the figure below. Estimate how far the car travels during the 10 second period. The car travels feet the absolute tolerance is +/-15

Explanation / Answer

Question 1 a) Lower = 29 Upper = 31 b) Lower = 66 Upper = 82 Question 2 30mph = 44fps acceleration = 44/10 =4.4fps^2 s = 1/2 a t^2 = 220 feet

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