NUMERICAL ANALYSIS (please solve it by Divided difference scheme , not by Hermite polynomial )A car traveling along a straight road is clocked at a number of points. The data from the observations are given in the following table, where the time is in seconds, the distance is in feet, and the speed is in feet per second.Time035813Distance0225383623993Speed7577807472Use a Divided difference scheme to predict the position of the car and its speed when t = 10s.Use the derivative of the polynomial to determine whether the car ever exceeds a 55 mi/h speed limit on the road. If so, what is the first time the car exceeds this speed?What is the predicted maximum speed for the car using appropriate coding scheme

Given: Time 0 3 5 8 13 Distance 0 225 383 623 993 Speed 75 77 80 74 72 To find: 1 , 2,…

Answered: Use a Divided difference scheme to…

Advanced Engineering Mathematics

10th Edition

ISBN:9780470458365

Author:Erwin Kreyszig

Publisher:Erwin Kreyszig

Chapter2: Second-order Linear Odes

Section: Chapter Questions

Problem 1RQ

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NUMERICAL ANALYSIS (please solve it by Divided difference scheme , not by Hermite polynomial )

A car traveling along a straight road is clocked at a number of points. The data from the observations are given in the following table, where the time is in seconds, the distance is in feet, and the speed is in feet per second.

Time	0	3	5	8	13
Distance	0	225	383	623	993
Speed	75	77	80	74	72

Use a Divided difference scheme to predict the position of the car and its speed when t = 10s.
Use the derivative of the polynomial to determine whether the car ever exceeds a 55 mi/h speed limit on the road. If so, what is the first time the car exceeds this speed?
What is the predicted maximum speed for the car using appropriate coding scheme

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