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(1) Velocity (v) as function of time (t) is tabulated below. Table 1: Dataset itv(m/s) 105 2 26 3 3 7 What is the acceleration in m/s² at t = 2s? That is, find out l-2, using First Central Difference (FCD) method of O(h²) if possible, otherwise if it is impossible then use First Forward Difference (FFD) method of O(h). Equations for both are given below

(1) Velocity (v) as function of time (t) is tabulated below. Table 1: Dataset itv(m/s) 105 2 26 3 3 7 What is the acceleration in m/s² at t = 2s? That is, find out l-2, using First Central Difference (FCD) method of O(h²) if possible, otherwise if it is impossible then use First Forward Difference (FFD) method of O(h). Equations for both are given below

Advanced Engineering Mathematics
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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(1) Velocity (v) as function of time (t) is tabulated below. Table 1: Dataset itu(m/s) 05 26 1 2 3 3 7 What is the acceleration in m/s² at t = 2s? That is, find out dl-2, using First Central Difference (FCD) method of O(h²) if possible, otherwise if it is impossible then use First Forward Difference (FFD) method of O(h). Equations for both are given below (show your steps): FCD (O(h²)): f'(x₁) = FFD (O(h²)): f'(x) = f(x+1)-f(x-1) 2h f(x+1)-f(x₁) 2h
Transcribed Image Text:(1) Velocity (v) as function of time (t) is tabulated below. Table 1: Dataset itu(m/s) 05 26 1 2 3 3 7 What is the acceleration in m/s² at t = 2s? That is, find out dl-2, using First Central Difference (FCD) method of O(h²) if possible, otherwise if it is impossible then use First Forward Difference (FFD) method of O(h). Equations for both are given below (show your steps): FCD (O(h²)): f'(x₁) = FFD (O(h²)): f'(x) = f(x+1)-f(x-1) 2h f(x+1)-f(x₁) 2h
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