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 3 5 8 13 Distance Speed 1. Use a Divided difference scheme to predict the position of the car and its speed when t = 225 383 623 993 75 77 80 74 72 10s. 2. 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? 3. What is the predicted maximum speed for the car using appropriate coding scheme?
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 3 5 8 13 Distance Speed 1. Use a Divided difference scheme to predict the position of the car and its speed when t = 225 383 623 993 75 77 80 74 72 10s. 2. 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? 3. What is the predicted maximum speed for the car using appropriate coding scheme?
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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Transcribed Image Text: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
3
5
8
13
Distance
225
383
623
993
Speed
75
77
80
74
72
1. Use a Divided difference scheme to predict the position of the car and its speed when t =
10s.
2. 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?
3. What is the predicted maximum speed for the car using appropriate coding scheme?
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