Homework SourseThe average vehicle speed in miles per hour at a particular
The average vehicle speed (in miles per hour) at a particular point on a highway on a Monday morning is given by H(t) = 20t - 40t0.5 + 70 on the interval [0, 4], where t is in hours and t = 0 corresponds to 6 AM. At what time does the lowest average vehicle speed occur?
Solution
I assume the equation is H(t)= 20t -40t^(0.5) +70 Taking the derivative and setting it equal to 0. H\'(t)= 20- 20 t^(-.5) =0 t^(-.5)= 1 t=1. Lowest occurs at 7AM.![The average vehicle speed (in miles per hour) at a particular point on a highway on a Monday morning is given by H(t) = 20t - 40t0.5 + 70 on the interval [0, 4]](/WebImages/15/the-average-vehicle-speed-in-miles-per-hour-at-a-particular-1024122-1761530017-0.webp "The average vehicle speed (in miles per hour) at a particular point on a highway on a Monday morning is given by H(t) = 20t - 40t0.5 + 70 on the interval [0, 4]")
