The stopping distance for an automobile is F(s) = 1.1s + 0.055s^2 ft, where s is the speed in miles per hour. Use the linear approximation to estimate the change in stopping distance per additional miles per hour when s = 35 and when s = 50.
+37095 When s = 35 F(s) = 105.88
when s = 50 F(s)= 192.5
F(50) - F(35) = 86.62 this is the difference between stopping distance between 50 and 35 mph
so the average linear approximation would be 86.62 ft/ (50-35)mph = 5.775 ft / mph
In other words each 1 mph increase in speed increases stopping distance by 5.775 ft (linear APPROXIMATON)
