Question

Suppose a stationary police officer at point A sees you pass by at 5:10pm and his colleague 10 miles down the road at point B sees you pass at 5:16pm. Suppose the speed limit on this stretch of road between A and B is 65mph. Then, can they prove that you must have broken the speed limit at some point between A and B? You may assume that your position as a function of time is both continuous and differentiable everywhere. Use mean value theorem to justify.

Answer 1

5:10pm Silopm 10 miles Q - Speed linit 65mphi t-oh t thing total time Beluca Convert min to her A & B = 6min bagian belangen - de .. tz I hins By creating position function ... s(t) = Position sebe belocity s(0) = 0 sloo)- 10 miles The denivaline of position. s'(E)= velocing - miles an per hour Gauguelocity tt 110 s(to) - SCO) mily - 10-0 is 100 mph in between = 100 mph That is Aug relocity stretch By this we can easily Speed limit in between they crossed say that ASA