1) The braking distance of a vehicle is defined as the distance travelled from where the brakes are applied to the point where the vehicle come to a complete stop. The speed, s ms, and braking distance, d m, of a truck were recorded. This information is summarized in the following table. Speed, sms Braking distance, d m 0 0 6 12 This information was used to create a Model A, where d is a function of s, s20. Model A: d(s) ps² + qs, where p, qez - The actual braking distance at 20 ms is 320 m. a) At a speed of 6 ms¹, Model A can be represented by the equation 6p + q = 2. Additional data was used to create Model B, a revised model for the braking distance of a truck. Model B: d(s) = 0.95s² - 3.92s 10 60 i) Write down a second equation to represent Model A, when the speed is 10 ms. ii) Find the values of p and q. b) Find the coordinates of the vertex of the graph of y=d(s). c) Using the values in the table and answer to part (b), sketch the graph of y=d(s) for 0 sss 10 and -10 ≤ d s 60, clearly showing the vertex. d) Hence, identify why Model A may not be appropriate at lower speeds.

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