10.3 CHALLENGE: Plotting the analytical vertical throw trajectory Create a plot of the trajectory y(t) of a vertically thrown ball under gravity (g = 9.81 m.s-2) that comes to rest on the ground at y = 0: 1 u(t) 3gt2 + vot + yo y(t) = u(t)e (u(t)) Think for a moment what the function y(t) should look like. What is the role of the Heaviside function (2) here? Why does y(t) correctly describe the trajectory of the ball? Code requirements Create a function y_throw(t, vo, y0=2) that calculates y(t) as defined above. (Choose initial position yo = 2 m as default.) Create two plots for two different initial velocities o vo = 20 m.s-1 (with linewidth 4 points, and solid linestyle) o vo = 0m.s-1 (with linewidth 2 points, and dashed linestyle) and add labels to the individual graphs indicating the initial velocities "VO=... m/s" Plot for 100 equally spaced steps 0 0: 25 return 1 26 return 0.5 27 11 24 Develop mode Submit mode Run your program as often as you'd like, before submitting for grading. Below, type any needed input values in the first box, then click Run program and observe the program's output in the