P1 (30%). Write a computer program that takes the initial horizontal and vertical position of a projectile, along with its initial velocity and angle of projection and provides the following variables a) Maximum height (5%) b) Range and final horizontal position when the projectile touch the ground (10%) c) Plots the path of motion (15%). Hint: Make a clever use of modular programming techniques with various user-defined functions. P2 (70%). Assuming that horizontal position is 0, expand the program you developed in P1 in a way that it can get a range for initial vertical position or velocity or angle of projection or any combination of these variables and plot possible motion of path considering the range given for each variable. Using this program, do the following calculations/actions: a) Possible height and range, assuming that initial vertical position and velocity are constant (5%) b) Plot possible paths of motion for part a (5%) c) Possible height and range, assuming that angle of projection and velocity are constant (5%)