The measured velocity of a moving object is recorded in Table 1. It is desired to estimate the velocity at 113 seconds between the last two data points. a) Find the Lagrange interpolating polynomial P(t) in standard form that smoothly connect all 5 points. b) Find the interpolated value at = 13 using interpolating polynomial you found in a). c) Plot the graph of the interpolating polynomial that includes data and interpolated value. Note: the Matlab program for Example #3, Module 6 can be adapted for this problem (Lagran_example.m with lagran.m function). Table 1. Velocity (v), m/s Put your answer in this box: P(t)= P(13)= Copy and paste your plot here: Time (t), s 3 6 10 16 20 22 146 100 302 350 Matlab script (do not include lagran.m function) (use 10pt font) HW3 SP-20 problem 1 Figure place