A moving particle has a velocity described in the following data: Time (sec) Velocity (m/s) 0 22 a. Direct Method 15 24 18 37 22 25 Determine the velocity of the particle at 20 seconds using a quadratic polynomial interpolated at t= 15 sec, 18 sec, 22 sec, using b. Newton Divided Difference Method 24 123 c. Lagrange Interpolation Method

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter2: Equations And Inequalities
Section2.7: More On Inequalities
Problem 44E
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QUESTION No. 1
A moving particle has a velocity described in the following data:
Time (sec)
Velocity (m/s)
0
22
a. Direct Method
15
24
18
37
22
25
Determine the velocity of the particle at 20 seconds using a quadratic polynomial interpolated at t
15 sec, 18 sec, 22 sec, using
b. Newton Divided
Difference Method
24
123
c. Lagrange Interpolation
Method
Transcribed Image Text:QUESTION No. 1 A moving particle has a velocity described in the following data: Time (sec) Velocity (m/s) 0 22 a. Direct Method 15 24 18 37 22 25 Determine the velocity of the particle at 20 seconds using a quadratic polynomial interpolated at t 15 sec, 18 sec, 22 sec, using b. Newton Divided Difference Method 24 123 c. Lagrange Interpolation Method
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