1. The speed of the traffic flowing past a certain downtown exit between the hours of 1:00P.M. and 6:00 P.M. is approximatelyV= t³ - 10.5t² + 30t + 20 miles per hour where t = number of hours past noon. Use theBisection method in finding the fastest speed of the traffic between 1:00 P.M. and 6:00 P.M.in mph? Find the absolute relative approximate error up to 0.10%.

Given:- v=t3-10.5t2+30t+20 miles per hour t=number of hours past noon To find:- absolute relative…

Answered: M. and 6:00 P.M. is approximately V= t3…

M. and 6:00 P.M. is approximately V= t3 - 10.5t? + 30t + 20 miles per hour where t = number of hours past no %3D section method in finding the facte

Traffic and Highway Engineering

5th Edition

ISBN:9781305156241

Author:Garber, Nicholas J.

Publisher:Garber, Nicholas J.

Chapter3: Characteristics Of The Driver, The Pedestrian, The Bicyclist, The Vehicle, and The Road

Section: Chapter Questions

Problem 10P

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FEA for Dynamic Problems

Finite element analysis or FEA is a computational tool that evaluates the approximate solution for a particular engineering problem. The tools provided by FEA help to evaluate the solutions of partial differential equations (PDEs) computationally following a numerical approach. Solutions of the PDEs can also be performed by following traditional algebraic approaches, but when the problem gets towards the complex side, it becomes very tedious and almost impossible to arrive at the solutions. In such cases, the FEA fulfills the purpose by evaluating the equations following multiple time steps and iterations. The more the time steps and iterations, the more accurate the solution. The solution plotted by FEA analysis and mathematical approaches varies asymptotically.

Question

1. The speed of the traffic flowing past a certain downtown exit between the hours of 1:00
P.M. and 6:00 P.M. is approximately
V= t³ - 10.5t² + 30t + 20 miles per hour where t = number of hours past noon. Use the
Bisection method in finding the fastest speed of the traffic between 1:00 P.M. and 6:00 P.M.
in mph? Find the absolute relative approximate error up to 0.10%.

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