Calculate reaction time and distance in the English Standard System.

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Presentation transcript:

Calculate reaction time and distance in the English Standard System. OBJECTIVES Driving Safety Data Unit 5.8 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.

Key Terms reaction time thinking time reaction distance braking distance total stopping distance Time to switch from gas pedal to brake (~.75-1.5 seconds) Another phrase for reaction time Dx car travels during rxn time Dx car travels while braking TSD = Rxn Dx + Braking Dx

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?

Example 1 What is the reaction distance for a car traveling approximately 48 miles per hour?

CHECK YOUR UNDERSTANDING A car is traveling at 65 mi/h. Approximately how far will it travel during the average reaction time?

Example 2 What is the approximate braking distance for a car traveling at 48 mi/h?

CHECK YOUR UNDERSTANDING What factors also need to be taken into account that might add to or subtract from the braking distance?

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?

CHECK YOUR UNDERSTANDING What is the total stopping distance for a car traveling at 65 mi/h?

EXAMPLE 4 Desireé is traveling through Canada. The speedometer in her rented car indicates kilometers per hour and all of the road signs give distances in kilometers. She knows that one kilometer is equal to 1,000 meters and one meter is a little more than 3 feet. Determine Desireé’s total stopping distance if she is traveling 88 kilometers per hour.

CHECK YOUR UNDERSTANDING A car is traveling at 78 km/h. What is the total stopping distance in meters? Round your answer to the nearest hundredth of a meter.

EXTEND YOUR UNDERSTANDING Toni’s car is traveling 75 km/h. Randy’s car is behind Toni’s car and is traveling 72 km/h. Toni notices a family of ducks crossing the road 50 meters ahead of her. Will she be able to stop before she reaches the ducks? What is the least distance that Randy’s car can be from Toni’s car to avoid hitting her car, if he reacts as soon as he sees her brakes?