USE MATLAB

Problems 1 -3 are based on the following information. An object is launched with an angle and initial velocity vo and travels a horizontal distance x during a time of flight, t. ,'"sin(0) The time of flight (C) is described as: t8/2 where g = 9.8 m2/s. The corresponding horizontal distance traveled by an object to a point at the same height is: x-Vo*cos(e) t 1. M-file function with single input and output a. Create an M-file function distance! that accepts as your input and returns the horizontal distance traveled by the object. For this case, consider an initial velocity of vo is 8 m/s. b. Using the function distance! and the fplot command, plot distance versus from 0 to 90 c. Using the function distancel, examine the effect of uncertainty in the launch angle on the corresponding horizontal distance of travel by performing the following calculation. Generate 12 random (Gaussian) values of with an average of 35 and a standard deviation of 3. Find the corresponding mean and standard deviation for x using these random numbers