Question

51. Safety research Under ideal conditions, if a person driving a car slams on the brakes and skids to a stop, the length of the skid marks (in feet) is given by the formula L0.000 013 3xy2 where x is the weight of the car (in pounds) and y is the speed of the car (in miles per hour). What is the average length of the skid marks for cars weighing between 2,000 and 3,000 pounds and traveling at speeds between 50 and 60 miles per hour? Set up a double integral and evaluate it. 52. Safety research. Repeat Problem 51 for cars weighing between 2,000 and 2,500 pounds and traveling at speeds be- tween 40 and 50 miles per hour.

Answer 1

62 3000 1000 x10 。.。。。。133 2 dx dy 60 0.0000133 30o0 = So So o 0000 (33 doc dy 5 0 -0,0000 (33 ズy2 SoOo