28 1 Introduction In dynamics, when we consider kinematic variables (a, ) during erratic motion along a direction (or to determine velocity attainted, distance travelled etc. These integral kinematic qualities and some illustrative relations are shown below. axis), we often integrate 1 relations are founded on the definitions of these fo Where variables with subscript 0 are the initial vahues. While it may be possible to integrate kinematic variables analytically, there are times when such integrations are tedious. In such cases one can resort to numerical methods to integrate functions. Many modern software packages have in-built functions to integrate functions numerically. But, in this assignment you will write code in Matlab to integrate functions numerically adopting the Simpson's method. 2 Simpson's method Among different numerical methods adopted to realize numerical integrations, Simpson's method is a well known method to integrate functions. If f = f(z) is a continuous function that is to be integrated between the limits a and b, the Simpsons method to integrate employing n/2 steps, where n is even is given below. n/2 (32i-1) +f(2 where, b- a 3 Assignment UIsing appropriate loop statements, write a Matlab script to integrate a function numerically for user-defined n values (note: n is a even number). Adopt the code to solve the two problems given below. Upload your Matlab script fles and your solutions (scanned-pages/images are fine but they have to be clear & legible) to elearning by 11/28/17 (midnight)