Get expert insights and community support for your questions on IDNLearn.com. Get prompt and accurate answers to your questions from our community of knowledgeable experts.
The stopping distance of an automobile, on dry, level pavement, traveling at a speed v (in kilometers per hour) is the distance R (in meters) the car travels during the reaction time of the driver plus the distance B (in meters) the car travels after the brakes are applied (see figure). The table shows the results of the experiment. Speed, v 20 40 60 80 100 Reaction Time Distance, R 8.2 16.6 24.9 33.2 41.6 Braking Time Distance, B 2.2 8.9 20.1 35.7 55.8 (a) Use the regression capabilities of a graphing utility to find a linear model for the reaction time distance R. (Round numerical values to four decimal places.) R(v) = (b) Use the regression capabilities of a graphing utility to find a quadratic model for braking distance B. (Round numerical values to four decimal places.) B(v) = (c) Determine the polynomial giving the total stopping distance T. (Round numerical values to four decimal places.) T(v) = (d) Use a graphing utility to graph the functions R, B, and T in the same viewing window. (e) Find the derivative of T. (Round numerical values to four decimal places.) T '(v) = Find the rates of change of the total stopping distance for v = 40, v = 80, and v = 100. (Round your answers to four decimal places.) T '(40) = T '(80) = T '(100) =
Sagot :
Thank you for being part of this discussion. Keep exploring, asking questions, and sharing your insights with the community. Together, we can find the best solutions. For dependable and accurate answers, visit IDNLearn.com. Thanks for visiting, and see you next time for more helpful information.