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5 5-1 5-2 5-3 5-4 5-5 Slide 1 AUTOMOBILE OWNERSHIP Classified Ads Buy or Sell a Car Graph Frequency Distributions Automobile Insurance Linear Automobile Depreciation Financial Algebra © Cengage/South-Western 5 5-6 5-7 5-8 5-9 Slide 2 AUTOMOBILE OWNERSHIP Historical and Exponential Depreciation Driving Data Driving Safety Data Accident Investigation Data Financial Algebra © Cengage/South-Western 5-8 DRIVING SAFETY DATA OBJECTIVES Calculate reaction time and distance in the English Standard System. Calculate and use the braking distance in both the English Standard and Metric Systems. Calculate and use the total stopping distance in both the English Standard and Metric Systems. Slide 3 Financial Algebra © Cengage/South-Western Key Terms Slide 4 reaction time thinking time reaction distance braking distance total stopping distance Financial Algebra © Cengage Learning/South-Western How can you use mathematics to become a safer driver? How long do you think it takes a driver to react to something in the roadway that requires the car to stop? When a driver applies the brakes to a car How long does it take the car to stop? What distance does the car travel before it stops? Slide 5 Financial Algebra © Cengage Learning/South-Western Example 1 What is the reaction distance for a car traveling approximately 48 miles per hour? Prove this solution: reaction distance = 1.5 feet per second Slide 6 Financial Algebra © Cengage Learning/South-Western Example 1 What is the reaction distance for a car traveling approximately 48 miles per hour? Prove this solution: reaction distance = 1.5 feet per second Slide 7 Financial Algebra © Cengage Learning/South-Western Example 1 reaction distance = 1.5 feet per second 55 mph = miles 1 hour 55 mph * #hours = 55 * 1 = 55 miles 1 hour #minutes 1 (60 min * 60 sec) 3600 sec 55 miles = 55 mile * 5280 feet = 290,400 = 80.667 ≈81 ft/sec. 3600 sec 3600 sec 3600 Slide 8 Financial Algebra © Cengage Learning/South-Western Example 1 55 mph = 81 ft/sec. 0.75 * 81 ft/sec. = 60.75 ft. 1.5 * 81 ft./sec = 121.5 ft.* NOTE: a profession basketball court is 94 feet long a high school basketball court is 84 feet long Slide 9 Financial Algebra © Cengage Learning/South-Western Example 1 What is the reaction distance for a car traveling approximately 48 miles per hour? Mph * 5280 ft. = x ft./sec 3600 sec 48 * 5280 = 253,440 = 70.4 feet 3600 3600 Slide 10 Financial Algebra © Cengage Learning/South-Western CHECK YOUR UNDERSTANDING A car is traveling at 65 mi/h. Approximately how far will it travel during the average reaction time? Mph * 5280 ft. = x ft./sec 3600 sec 65 * 5280 = 343,200 = 95.33 feet 3600 3600 Slide 11 Financial Algebra © Cengage Learning/South-Western Applications, p.270 #2 #3 #4 #5 #6 #7 Slide 12 Financial Algebra © Cengage Learning/South-Western Example 2 What is the approximate braking distance for a car traveling at 48 mi/h? Use the braking distance formula s2 / 20 Type into your calculator: 48^2 ÷ 20 = = 115.2 Slide 13 Financial Algebra © Cengage Learning/South-Western CHECK YOUR UNDERSTANDING What factors also need to be taken into account that might add to or subtract from the braking distance? Slide 14 Financial Algebra © Cengage Learning/South-Western Applications, p.270 #8 #9 #10 Slide 15 Financial Algebra © Cengage Learning/South-Western EXAMPLE 3 Rachel is driving at 48 mi/h on a one-lane highway. She sees an accident directly ahead of her about 200 feet away. Will she be able to stop in time? Slide 16 Financial Algebra © Cengage Learning/South-Western CHECK YOUR UNDERSTANDING What is the total stopping distance for a car traveling at 65 mi/h? Slide 17 Financial Algebra © Cengage Learning/South-Western Applications, p.270 #11 #12 Slide 18 Financial Algebra © Cengage Learning/South-Western