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Stopping Distances Before a vehicle stops, the driver has to think before applying the brakes and the brakes take time to actually stop the vehicle. These two processes vary at different speeds as shown the table below: Speed (kmh¯¹) Thinking distance (km) Braking distance (m) 32 0.006 0.006 48 0.009 0.014 64 0.012 0.024 80 0.015 0.038 96 0.018 0.055 112 0.021 0.075 So by adding the thinking distance and braking distance together we are able to find the total average stopping distance: Stopping distance (km) 0.012 0.023 0.036 0.053 0.073 0.096 Using the records above, our task is to: * Develop individual functions that model the relationship between speed and thinking distance as well as speed and braking distance * Develop a model for the relationship between speed and over all stopping distance 1. Using a graphing software I have created two data plots: Speed versus Thinking distance graph The values between the thinking distances have a fixed interval and a set value for the speed making it a straight line with a positive constant gradient of 16/3. The gradual increase of the line...

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