Problems 1 -3 are based on the following information. An object is launched with an angle 0 and initial velocity Vo and travels a horizontal distance x during a time of flight, t. The time of flight (t) is described as: t- horizontal distance traveled by an object to a point at the same height is Vo sin(e) g/2 where g 9.8 m'ls. The corresponding X-Vo * cos(0) *t 1. M-file function with single input and output Create an M-file function distance! that accepts , in degrees, as your input and returns the horizontal distance traveled by the object. For this case, consider an initial velocity of Vo is 7 m/s a. b. Using the distance! and the plot command, plot distance versus from 0 to 900. 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 100 random (Gaussian) values of with an average of 40and a standard deviation of 4. Find the corresponding mean and standard deviation for x using these random numbers 2. Anonymous functiorn Create an anonymous function called distances that accepts as your input and returns the horizontal distance traveled by the object. Use an initial velocity of Vo-14 m/s. a. b. Using distance2 and thefplot command, plot distance versus from 0 to 90% c. Use the fiminbnd to determine 0 giving the greatest travel distance. Recall that fminbnd is a function that requires a function input or function handle. Hint: You are being asked to find the maximum distance OR the minimum of the negative distance. Clearly name the variables representing the answer 0 and the corresponding greatest distance 3. M-file function with multiple inputs and outputs a. Create an M-file function distance3 that accepts 0 and Vo as input and returns x and t as outputs Using distance3 and the meshgrid command, determine the value of x and t for between 0 and 90(in increments of 10) and Vo between 1 and 10 m/s (in increments of 1 m/s) Plot x versus Vo and t versus vo on a single plot (double y-axis) at = 40. Add a title b. c