The distance required to stop an automobile consists of both thinking and braking components, each of which is a function of its speed. The following experimental data was collected to quantify this relationship. Develop best-fit equations for both the thinking and braking components. Use these equations to estimate the total stopping distance for a car traveling at 110 km/h.
Speed, km/h | 30 | 45 | 60 | 75 | 90 | 120 |
Thinking, m | 5.6 | 8.5 | 11.1 | 14.5 | 16.7 | 22.4 |
Braking, m | 5.0 | 12.3 | 21.0 | 32.9 | 47.6 | 84.7 |
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