Math Problem Solver

1. Consider the following table of data points/nodal points:

Time t (sec) Velocity (ms^-1)

v(t)

2 10

4 20

6 25

a. [4+1 marks] Find an interpolating polynomial of velocity that goes through the above

data points by using Vandermonde Matrix method. Also compute an approximate

value of acceleration at Time, t=7 sec.

b. [4 marks] Find an interpolating polynomial of velocity that goes through the above data

points by using Lagrange method.

c. [2 marks] If a new data point is added in the above scenario, which method should you

use in finding a new interpolating polynomial? Also what will be the degree of that new

polynomial?