Using a soccer ball with a mass of 450 g, and a diameter of 22 cm. the drag coefficient cp for a soccer ball is about 0.25. (note: the c in cv is given by copd2, p is the density of air. (a) calculate the numerical value of the quadratic drag constant "c" for a soccer ball traveling in air at stp, and write down the equations of motion required to solve for x(t) and y(t) with just quadratic drag. (b) generate a code so that you have quadratic drag. for simplicity and concreteness, set the kick angle to 45 degrees, and pick an initial speed of 30 m/s. plot the trajectory. (a) what is the ideal (drag-free) range in this case, and what does your code tell you the range is with quadratic drag? (c) at an elevation of 3000 m, the air density is about 70% that of sea level. calculate how much this would impact the range. (d) what angle would create the maximum range using data at sea level?