From the projectile problems that you have done as part of Physics & Dynamics courses, you know that the distance a projectile travels when fired at an angle is a function of time and can be divided into horizontal and vertical distances according to the formulas horizontalt)-tv, cose vertical)-V, sine where distance traveled in the horizontal direction distance traveled in the vertical direction initial velocity (inmis) acceleration due to gravity (98m ) time in seconds) A projectile is fired from the edge of a SB-m high cliff with an initial velocity of mis angle of with the horizontal, as shown in the figure 150 m Parta) Suppose the above projectile is fired at an initial velocity (w) of 180 m/s and a launch angle of 30 degrees (Case 1). Use MATLAB to plot the Vertical distance (on y-axis) vs. Horizontal distance (on x-axis) for time 25 de Parth Now suppose we vary the launch angle and the initial velocities as per the following two cases (Case 2 corresponding to 0; & w, and Case 3 corresponding to , & wu Launch Angle in degrees 8-20, 0, -40 Initial Velocities in m/s): 160, 150 Use MATLAB to plot vertical distance on y-axis) versus horizontal distance (on x-axis) for all three cases (Cases 1, 2 and 3) on the same plot include proper plot title, axis labels and plot legends) AERO 350 Lab Agama The plots obtained in Part b) show the projectile motion for negative values of the vertical distance the second equation above). These negative values do not make sense physically since the projectile has already hit the ground Modify the vertical and horizontal distance Vectors and plot the graph again vertical distance versus horizontal distance for all three ca se that the plot shows only the positive values of the vertical distance travelled by the projectile. Using the modified horizontal distance Vector found in part (c) write MATLAB code to find the distance travelled by the projectile horizontally until it hits the ground for all three cases) For which of the three cases is the horizontal distance traveled by the projectile maximum Using the modified vertical distance vector found in part (c), write MATLAB code to find the values of the maximum clevation reached by the projectile (for all three cases) For which of the three cases is the highest skoration reached by the projectile maximum