The distance required to stop an automobile consists of both thinking and braking components each at which is a function of its speed. The following experimental data was collected to quantify this relationship. Develop a best-fit equation for both the thinking and braking components. Use these equations to estimate the total stopping distance for a car traveling at 110m/h.

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Speed, m h 45 60 30 120 90 75 Thinking. m Braking, m 11.1 14.5 16.7 224 5.6 85 50 12.3 21.0 329 47.6 84.7