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Stopping Distances When a driver stops her car, she must first think to apply the brakes. Then the brakes must actually stop the vehicle. The table below lists the average times for these processes at various speeds. Table 1. average times for these processes at various speeds Speed (kmh-1) Thinking distance (m) Braking distance (m) Stopping distance (m) 32 6 6 12 48 9 14 23 64 12 24 36 80 15 38 53 96 18 55 73 112 21 75 96 Using this table we can graph two data plots: (i) Speed versus Thinking distance, (ii) Speed versus Braking distance, and (iiI) Speed versus Stopping distance (i) Speed versus Thinking distance Table 2. Speed versus Thinking distance Speed (kmh-1) Thinking distance (km) 32 0.006 48 0.009 64 0.012 80 0.015 96 0.018 112 0.021 Graph 1. Speed versus Thinking distance This is clearly a linear graph since we can see a straight line. This shows us that the correlation between speed and thinking distance is directly proportional, meaning that as speed increases the thinking distance will also increase. In other words, as the speed of a car increases it takes a longer time for the driver to think...

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