The stopping distance of an automobile, on dry, level pavement, traveling at a speed v (in...

Transcribed Image Text:

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 traves 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 Reaction time Driver sees obstacle Speed, v Reaction Time Distance, R Braking Time: Distance, B Driver applies brakes 20 8.8 40 Braking distance 17.2 B 60 Car stops @ 2.8 9.5 20.7 80 33.8 25.5 36.3 100 42.2 56.4 (4) 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) = tal stepping distance T. (Round numerical values to four decimal places) 101 OTOD (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. (Select the correct graph.) y y 80 60 40 20 y 80 20 40 60 80 100 120 V 80 60 40 20 y 80 20 40 60 80 H 5 100 Ⓡ *** V 120 C y 80 60 40 20 O V 20 40 *EY MEA MAANyment responses/submit/dep 31138/120tagsautosave question5273391 60 80 100 120 V 80 60 40 20 90 20 (e) Find the derivative of T. (Round numerical values to four decimal places) T'(v) = 40 60 80 100 120 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) = (f) Use the results of this exercise to draw conclusions about the total stopping distance as speed increases. For increasing speeds, the total stopping distance Select 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 traves 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 Reaction time Driver sees obstacle Speed, v Reaction Time Distance, R Braking Time: Distance, B Driver applies brakes 20 8.8 40 Braking distance 17.2 B 60 Car stops @ 2.8 9.5 20.7 80 33.8 25.5 36.3 100 42.2 56.4 (4) 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) = tal stepping distance T. (Round numerical values to four decimal places) 101 OTOD (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. (Select the correct graph.) y y 80 60 40 20 y 80 20 40 60 80 100 120 V 80 60 40 20 y 80 20 40 60 80 H 5 100 Ⓡ *** V 120 C y 80 60 40 20 O V 20 40 *EY MEA MAANyment responses/submit/dep 31138/120tagsautosave question5273391 60 80 100 120 V 80 60 40 20 90 20 (e) Find the derivative of T. (Round numerical values to four decimal places) T'(v) = 40 60 80 100 120 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) = (f) Use the results of this exercise to draw conclusions about the total stopping distance as speed increases. For increasing speeds, the total stopping distance Select

Answer rating: 100% (QA)

Step 1 Given a table of values Step 2 a Linear model for the reaction time distance R Using regressi... View the full answer