Please code in C.

Program 2- Lincar Inte tion The technique of interpolation can be used for estimating values between data points The simplest method of interpolation is called Jinear interpolation, shown in the following figure. In this case, two adjacent points are connectod with a straight linc y) Figure 4.5 Linear interpolation The value of y for any x between two adjacent poims ( following equation: y) and t ya) is given by the CS1325-Introduction to Programming page: 3 In a lincar imerpolation, a straight line first-order polynomial is used to connect two adjacent points. For a smoother interpolation, a second or third-order polymomial (or even cubic splines) can be used to interpolate values between every two points. These latter lechniques are outside the scope of this assignment For purposes of this assignment, let's initialize our data set to contain the following points Later we may modify this program to read data points from an input file Table 43 Time and position for a moving body 2 5210 4 134 148 Viewing these data in a graphical format: 4 14 16 18 Figure 4.8 Position verua Sime for a moving body with data in Table 4.3 You can store the time and distance values in two separate parallel arrays or in an array of