If the race of Problem 1 were a horizontal distance, how long would it take a runner who can run 5-min miles to cover the distance? Compare this with the record speed of Problem 2. Did gravity have a significant effect on the overall time?
Problem 1
Each spring there is a race up 86 floors of the 102-story Empire State Building in New York City. If you were able to climb 2 steps/second, how long would it take in minutes to reach the 86th floor if each floor is 14 ft high and each step is about 9 in.?
Problem 2
The record for the race in Problem 1 is 10.22 min. What was the racer’s speed in min/mi for the race?
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