Distance between Cars (Refer to Example 6.) At 9:00 A.M. car A is traveling north at 50 miles per hour and is located 50 miles south of car B. Car B is travel- ing west at 20 miles per hour.

(a) Let (0,0) be the initial coordinates of car B in the xy-plane, where units are in miles. Plot the loca- tions of each car at 9:00 A.M. and at 11:00 A.M. 

(b) Find the distance d between the cars at 11:00 A.M.

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EXAMPLE 6 Finding the distance between two moving cars Suppose that at noon car A is traveling south at 20 miles per hour and is located 80 miles north of car B. Car B is traveling east at 40 miles per hour.