Provide complete solutions to the following problems. The completed assignments must be prepared in strict accordance with the format and guidelines specified in the Homework Assignment Submission Guidelines. Not following the guidelines in a perfect manner will result in loss of LOTS OF CREDIT. The guidelines will be strictly enforced. Problem 1: You are given data for the upward velocity of a rocket as a function of time in Table 1 below. Apply the third-order Lagrange interpolation to estimate the acceleration at � = 9.5s. Calculate the true error of your estimation, if the data given in the table was derived from the formula �(�) = 2000 ln [ 14 × 104 14 × 104 − 2100� ] − 9.8�, 0 ≤ � ≤ 30 Problem 2: #2 in Ch 05.05 Table 1 Given Velocity and Time Data for a Rocket
https://blackboardmasters.com/wp-content/uploads/2019/11/logo2-300x75.png 0 0 Christine James https://blackboardmasters.com/wp-content/uploads/2019/11/logo2-300x75.png Christine James2018-03-21 09:45:152018-03-21 09:45:15Apply Netwon’s Divided Difference interpolation of the velocity, find the distance covered by the rocket from � = 5s to � = 16s.