projectile launched in a frictionless (no drag) atmosphere will follow a path according to the following equations: (t) = vot cos y(t) = votsin - gt where I and y are the horizontal and vertical components of the projectile's displacement, vo is the initial velocity, tis time after launch, is the launch for initial) angle, and is the gravitational acceleration on earth (9.81 m/s). At some point in time after launch the proiectile will return to earth. This time can be determined with the following equation: o sin t Submit am file (not.mat) that performs the following tasks: 1. Generates and stores an array of 101 time values (equally spaced) starting a 0 and ending at td (implying that you will first need to calculate td). 2. Using the array from 1., calculates the horizontal position (2) values for each of the t values determined in 1 and stores all of these values in a second array. 3. Also using the array from 1., calculates the vertical position (V) values for each of the t values determined in 1 and stores these values in a third array, 4. Generates and stores a matrix in which the three arrays from above are stored. The matrix can either be 3x101 or 101x3 in size. 5. Generates a plot from the matrix in 4. showing the trajectory of the projectile (horizontal vs. vertical position, i.. vs. y). This means that the plot command should call on the matrix from 4., not the array(s) from 1. through 3. In summary, the script should generate 3 arrays, a matrix, and a plot. 6. Also submit a fig file of your figure, with the axes labeled (with units)