From Chapter 2, do the following problems. Each problem should be a separate script file named: LastName FirstName_Module3_Pxx, where xx is the problem number from CH2. P11. Do not ask for user input, we will do this again in Module 4. Use a initial height of 1.8 meters and an initial velocity of 20 m/s. It is up to you to determine sufficient range for time t, so that the plot looks nice and makes sense. For the plot use the following statements (t is time, his seconds, vis velocityl. Use the following plot command: plot (t.h.tv.grid From the graph determine the approximate time at which the maximum height is reached. From the graph determine the approximate time when the ball hits the ground? What does it mean when the velocity goes from positive to negative? Put the answers to these questions in your comments. Do not suppress anything in this script file P15. Do not ask for user input. Use the values given in the problem as input. Do not suppress anything in this script file. P26. Do not ask for user input. Use the value of 3 given in the program to compare the equation value with the Matlab cosh in value. Then for the plot of cosh x, define xos x-5:0.5:5. le use an increment of 0.5 within the range-5 to 5 inclusive. Do not suppress anything in this script file 2.11. Position and Velocity of a Ball If a stationary ball is released at a height he above the surface of the Earth with a vertical velocity vo the position and velocity of the ball as a function of time will be given by the equations h(t) gt? + vt + ho (2.40) v(t) =gt + (2.41) where g is the acceleration due to gravity (-9.81 m/s), h is the height above the surface of the Earth (assuming no air friction), and v is the vertical component of velocity. Write a MATLAB program that prompts a user for the initial height of the ball in meters and the velocity of the ball in meters per second and plots the height and velocity as a function of time. Be sure to include proper labels in your plots 2.12. The distance between two points (23.) and (32, ) on a Cartesian coordinate plane is given by the equation ME