
Modeling Data
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 die distance B (in meters)the car travels after the brakes are applied (see figure).The table shows the results of an experiment.
Speed, v | 20 | 40 | 60 | 80 | 100 |
Reaction Time Distance, R | 8.3 | 16.7 | 25.0 | 33.3 | 41.7 |
Braking Time Distance, B | 2.3 | 9.0 | 20.2 | 35.8 | 55.9 |
(a) Use the regression capabilities of a graphing utility to find a linear model for reaction time distance R.
(b) Use the regression capabilities of a graphing utility to find a quadratic model for braking time distance B.
(c) Determine the polynomial giving the total stopping distance T.
(d) Use a graphing utility to graph the functions R, B, and T in the same viewing window.
(e) Find the derivative of T and the rates of change of the total stopping distance for v = 40, v = 80, and v = 100.
(f) Use the results of this exercise to draw conclusions about the total stopping distance as speed increases.

Trending nowThis is a popular solution!

Chapter 2 Solutions
Bundle: Calculus, 10th + WebAssign Printed Access Card for Larson/Edwards' Calculus, 10th Edition, Multi-Term
- 6. [-/1 Points] DETAILS MY NOTES SESSCALCET2 6.5.001. ASK YOUR TEACHER PRACTICE ANOTHER Let I = 4 f(x) dx, where f is the function whose graph is shown. = √ ² F(x 12 4 y f 1 2 (a) Use the graph to find L2, R2 and M2. 42 = R₂ = M₂ = 1 x 3 4arrow_forwardpractice problem please help!arrow_forwardFind a parameterization for a circle of radius 4 with center (-4,-6,-3) in a plane parallel to the yz plane. Write your parameterization so the y component includes a positive cosine.arrow_forward
- ~ exp(10). A 3. Claim number per policy is modelled by Poisson(A) with A sample x of N = 100 policies presents an average = 4 claims per policy. (i) Compute an a priory estimate of numbers of claims per policy. [2 Marks] (ii) Determine the posterior distribution of A. Give your argument. [5 Marks] (iii) Compute an a posteriori estimate of numbers of claims per policy. [3 Marks]arrow_forward2. The size of a claim is modelled by F(a, λ) with a fixed a a maximum likelihood estimate of A given a sample x with a sample mean x = 11 = 121. Give [5 Marks]arrow_forwardRobbie Bearing Word Problems Angles name: Jocelyn date: 1/18 8K 2. A Delta airplane and an SouthWest airplane take off from an airport at the same time. The bearing from the airport to the Delta plane is 23° and the bearing to the SouthWest plane is 152°. Two hours later the Delta plane is 1,103 miles from the airport and the SouthWest plane is 1,156 miles from the airport. What is the distance between the two planes? What is the bearing from the Delta plane to the SouthWest plane? What is the bearing to the Delta plane from the SouthWest plane? Delta y SW Angles ThreeFourthsMe MATH 2arrow_forward
- Big Ideas Math A Bridge To Success Algebra 1: Stu...AlgebraISBN:9781680331141Author:HOUGHTON MIFFLIN HARCOURTPublisher:Houghton Mifflin HarcourtHolt Mcdougal Larson Pre-algebra: Student Edition...AlgebraISBN:9780547587776Author:HOLT MCDOUGALPublisher:HOLT MCDOUGAL
- Glencoe Algebra 1, Student Edition, 9780079039897...AlgebraISBN:9780079039897Author:CarterPublisher:McGraw HillTrigonometry (MindTap Course List)TrigonometryISBN:9781337278461Author:Ron LarsonPublisher:Cengage Learning





