Can someone please help with e-f? Thank you. 10:371) The braking distance of a vehicle is defined as the distance travelled from where the brakes are applied to thepoint where the vehicle come to a complete stop. The speed, s ms, and braking distance, d m, of a truck wererecorded. This information is summarized in the following table.Speed, smsBraking distance, d mi++ ☺The actual braking distance at 20 ms is 320 m.a)00612This information was used to create a Model A, where d is a function of s, s 20.Model A: d(s) = ps² + qs, where p, qe ZAt a speed of 6 ms¹, Model A can be represented by the equation 6p + q = 2. Additional data was used tocreate Model B, a revised model for the braking distance of a truck.Model B: d(s) = 0.95s² - 3.92s10b) Find the coordinates of the vertex of the graph of y=d(s).60i) Write down a second equation to represent Model A, when the speed is10ms.ii) Find the values of p and q.Add a caption...T/c) Using the values in the table and answer to part (b), sketch the graph of y=d(s)for 0 ≤s ≤ 10 and -10 ≤ d ≤ 60, clearly showing the vertex.d) Hence, identify why Model A may not be appropriate at lower speeds. mo e) Use Model B to calculate an estimate for the braking distance at a speed of20 ms-¹.f) Calculate the percentage error in the estimate in part (e).IContinued on next pg) It is found that once a driver realizes the need to stop their vehicle, 1.6seconds will elapse, on average, before the brakes are engaged. During thisreaction time, the vehicle will continue to travel at its original speed. A truckapproaches an intersection with speed s m s¹. The driver notices theintersection's traffic lights are red and they must stop the vehicle within a distanceof 330 m. Using Model B and taking reaction time into account, calculate themaximum possible speed of the truck if it is to stop before the intersection.

Question

Can someone please help with e-f? Thank you. 10:371) The braking distance of a vehicle is defined as the distance travelled from where the brakes are applied to thepoint where the vehicle come to a complete stop. The speed, s ms, and braking distance, d m, of a truck wererecorded. This information is summarized in the following table.Speed, smsBraking distance, d mi++ ☺The actual braking distance at 20 ms is 320 m.a)00612This information was used to create a Model A, where d is a function of s, s 20.Model A: d(s) = ps² + qs, where p, qe ZAt a speed of 6 ms¹, Model A can be represented by the equation 6p + q = 2. Additional data was used tocreate Model B, a revised model for the braking distance of a truck.Model B: d(s) = 0.95s² - 3.92s10b) Find the coordinates of the vertex of the graph of y=d(s).60i) Write down a second equation to represent Model A, when the speed is10ms.ii) Find the values of p and q.Add a caption...T/c) Using the values in the table and answer to part (b), sketch the graph of y=d(s)for 0 ≤s ≤ 10 and -10 ≤ d ≤ 60, clearly showing the vertex.d) Hence, identify why Model A may not be appropriate at lower speeds.> mo e) Use Model B to calculate an estimate for the braking distance at a speed of20 ms-¹.f) Calculate the percentage error in the estimate in part (e).IContinued on next pg) It is found that once a driver realizes the need to stop their vehicle, 1.6seconds will elapse, on average, before the brakes are engaged. During thisreaction time, the vehicle will continue to travel at its original speed. A truckapproaches an intersection with speed s m s¹. The driver notices theintersection's traffic lights are red and they must stop the vehicle within a distanceof 330 m. Using Model B and taking reaction time into account, calculate themaximum possible speed of the truck if it is to stop before the intersection.

Accepted Answer

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e) Use Model B to calculate an estimate for the braking distance at a speed of 20 ms-¹. f) Calculate the percentage error in the estimate in part (e). Continued on nex