A car travelling along a rural highway has been clocked at a number of points. Thedata from the observations are given in the following table, where the time is in seconds, thedistance is in meters and the speed is in meters per second.(a) Use the Hermite polynomial to predict the position of the car when t = 11s.Time461013151822Distance86130220288333399485Speed22.622.221.8 21.421.421.722.2 22.6(А) 242.1(В) 242.3 (С) 242.5 (D) 242.7 (E) 242.9(b) Use the Hermite polynomial to predict the position of the car when t = 17s.Time41013161821Distance96142230294360406478Speed21.522.6 23.524.624.423.4 22.5 21.6(A) 384.1(B) 384.3 (C) 384.5 (D) 384.7 (E) 384.9

Solution : The position of the car when t = 11s will be, 242.7

A car travelling along a rural highway has been clocked at a number of points. T data from the observations are given in the following table, where the time is in seconds, t distance is in meters and the speed is in meters per second. (a) Use the Hermite polynomial to predict the position of the car when t = 11s. Time 4 10 13 15 18 22 Distance 86 130 220 288 333 399 485 Speed 22.6 22.2 21.8 21.4 21.4 21.7 22.2 22.6 (A) 242.1 (B) 242.3 (C) 242.5 (D) 242.7 (E) 242.9 (b) Use the Hermite polynomial to predict the position of the car when t = 17s. Time 4 6. 10 13 16 18 21 Distance 96 142 230 294 360 406 478 Speed 21.5 22.6 23.5 24.6 24.4 23.4 22.5 21.6 (A) 384.1 (B) 384.3 (C) 384.5 (D) 384.7 (E) 384.9

A car travelling along a rural highway has been clocked at a number of points. T data from the observations are given in the following table, where the time is in seconds, t distance is in meters and the speed is in meters per second. (a) Use the Hermite polynomial to predict the position of the car when t = 11s. Time 4 10 13 15 18 22 Distance 86 130 220 288 333 399 485 Speed 22.6 22.2 21.8 21.4 21.4 21.7 22.2 22.6 (A) 242.1 (B) 242.3 (C) 242.5 (D) 242.7 (E) 242.9 (b) Use the Hermite polynomial to predict the position of the car when t = 17s. Time 4 6. 10 13 16 18 21 Distance 96 142 230 294 360 406 478 Speed 21.5 22.6 23.5 24.6 24.4 23.4 22.5 21.6 (A) 384.1 (B) 384.3 (C) 384.5 (D) 384.7 (E) 384.9

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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Question

A car travelling along a rural highway has been 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 meters and the speed is in meters per second.
(a) Use the Hermite polynomial to predict the position of the car when t = 11s.
Time
4
6
10
13
15
18
22
Distance
86
130
220
288
333
399
485
Speed
22.6
22.2
21.8 21.4
21.4
21.7
22.2 22.6
(А) 242.1
(В) 242.3 (С) 242.5 (D) 242.7 (E) 242.9
(b) Use the Hermite polynomial to predict the position of the car when t = 17s.
Time
4
10
13
16
18
21
Distance
96
142
230
294
360
406
478
Speed
21.5
22.6 23.5
24.6
24.4
23.4 22.5 21.6
(A) 384.1
(B) 384.3 (C) 384.5 (D) 384.7 (E) 384.9

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