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. (Round your coefficients to 3 decimal places.)

Speed, v	20	40	60	80	100
Reaction Time Distance, R	7.8	16.2	24.5	32.8	41.2
Braking Time Distance, B	1.8	8.5	19.7	35.3	55.4

11. 0.67/1 POINTS PREVIOUS ANSWERS LARCALC11 2.2.103. MY NOTES ASK YOUR TEACHER 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. (Round your coefficients to 3 decimal places.) Reaction time Braking distance Driver sees obstacle R B Driver applies brakes Car stops Speed, 20 40 60 80 100 Reaction Time 7.8 16.2 24.5 32.8 41.2 Distance, R Braking Time Distance, B 1.8 8.5 19.7 35.3 55.4 (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.) TV) =