Question

The average speed of a vehicle on a stretch of Route 134 between 6 A.M. and 10 A.M. on a typical weekday is approximated by the function f(t) = 13t − 26 t + 36 (0 ≤ t ≤ 4) where f (t) is measured in miles per hour, and t is measured in hours, with t = 0 corresponding to 6 A.M. At what time of the morning commute is the traffic moving at the slowest rate? A.M. What is the average speed of a vehicle at that time? mph

Answer 1

Page no. 2 DELTA PUNO at the slowest rate : Average speed - = Sxt = (3-26430) x (4926) Total distance Covered total time taken Distance - Speed & at 23 I hour hoor I hour. 23 mph.

Page no. 1 DELA Given the = 13+2 – 204 +36 0 I but question posted was - 13t-264 +36- - which ù wrong 7 7 t. For finding Slowest rate, we have do differentiate egn. o wodit and eguate it to zero and dhin proceed forther. DW 26+ - 26 267-26 = 0 204 = 26 Az tal ti do for beyond tal and flaico below t=1 Since - above ON. the graph fkt will look like the it means at t= 1 hour, e will be slowest, it will be 7 Am, Since at t-o, it is G Am at 7 Am traffic moving