Q4 (a) Zaafran is an engineer in Ferrari team. He develops a car simulation on the track which can be expressed in a polynomial function as: v(t) = 60t³ +98t² + 54t where velocity, v is measured in m/s and time, in seconds. If the car starts moving from starting point (0 seconds) to the end point (9 seconds), calculate the distance travelled by the car within 9 seconds from the starting point (consider h= 1), by using: (i) Simpson's 3/8 rule. (ii) 3 Point Gauss quadrature.
Q4 (a) Zaafran is an engineer in Ferrari team. He develops a car simulation on the track which can be expressed in a polynomial function as: v(t) = 60t³ +98t² + 54t where velocity, v is measured in m/s and time, in seconds. If the car starts moving from starting point (0 seconds) to the end point (9 seconds), calculate the distance travelled by the car within 9 seconds from the starting point (consider h= 1), by using: (i) Simpson's 3/8 rule. (ii) 3 Point Gauss quadrature.
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:Q4 (a)
Zaafran is an engineer in Ferrari team. He develops a car simulation on the track which
can be expressed in a polynomial function as:
v(t) = 60t³ +98t² + 54t
where velocity, v is measured in m/s and time, in seconds. If the car starts moving
from starting point (0 seconds) to the end point (9 seconds), calculate the distance
travelled by the car within 9 seconds from the starting point (consider h= 1), by using:
(i) Simpson's 3/8 rule.
(ii)
3 Point Gauss quadrature.
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