Suppose a cold front passing through the United States at noon, has a shape described by the function y = 1/20x². Each unit represents 100 miles. Des Moines, Iowa, is located at (0, 0), and the positive y-axis points north. See the figure. 

(a) If the cold front moves south at 40 miles per hour and retains its present shape, graph its new location at 4 P.M. 

(b) Suppose that by midnight the vertex of the front, which is maintaining the same shape, has moved 250 miles south and 210 miles east of Des Moines. Columbus, Ohio, is located approximately 550 miles east and 80 miles south of Des Moines. Plot the locations of Des Moines and Columbus together with the new position of the cold front. Determine whether the cold front has reached Columbus by midnight.

Transcribed Image Text:

60s Cold front 80% N S 10 Columbus OH 80s -E