föllowing data of a jet fighter position on an aircraft carrier runaway timed during landing, where x is the distance from the end of the carrier. t (s) 0.5 1.0 1.5 2.0 2.5 3.0 x (m) 153 185 210 249 261 271 273 i. Compute the velocity () at t = 1.5 using numerical differentiation of O(h'), where step size, h = 0.5. 'ap, at t = 1.5 using numerical ii. Compute the acceleration differentiation of O(h²), where step size, h = 0.5. (b) Calculate f sec (3t - 5) dt using substitution method.

Calculus: Early Transcendentals
8th Edition
ISBN:9781285741550
Author:James Stewart
Publisher:James Stewart
Chapter1: Functions And Models
Section: Chapter Questions
Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...
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Q3
(a) Given the following data of a jet fighter position on an aircraft carrier runaway
timed during landing, where x is the distance from the end of the carrier.
t (s)
0.5
1.0
1.5
2.0
2.5
3.0
x (m)
153
185
210
249
261
271
273
i.
Compute the velocity () at t = 1.5 using numerical differentiation of
O(h), where step size, h = 0.5.
ii.
Compute the acceleration
at t = 1.5 using numerical
dt
differentiation of O(h'), where step size, h = 0.5.
(b)
Calculate f sec? (3t - 5) dt using substitution method.
Transcribed Image Text:Q3 (a) Given the following data of a jet fighter position on an aircraft carrier runaway timed during landing, where x is the distance from the end of the carrier. t (s) 0.5 1.0 1.5 2.0 2.5 3.0 x (m) 153 185 210 249 261 271 273 i. Compute the velocity () at t = 1.5 using numerical differentiation of O(h), where step size, h = 0.5. ii. Compute the acceleration at t = 1.5 using numerical dt differentiation of O(h'), where step size, h = 0.5. (b) Calculate f sec? (3t - 5) dt using substitution method.
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