2. Use the Verlet method to calculate the period T(0m) of a simple pendulum as a function of the initial angle Om. Do this for many values of Om, being sure to use a time step t small enough that you obtain an accuracy of about 1%. (Run many trials for each Om and keep lowering T until the calculated period differs by less than 1%). Make a table of this data with four columns, Om, 20 VF/4.05, T(m), and (T(0m) 20 VE 19 %, T(@m), and (T(0m) 27 VL/9]. Make a plot of 240 V/902 on the t-axis vs. (T(Om) 21 VL/g) on the y-axis. On the same plot draw a line for the small angle approximation 2 L/g, and also plot the function from the elliptic integral that gave the first nontrivial correction T = 27 VL/g(1 + 02/16); it will be a straight line of slope 1 on this plot. Estimate the value of Om where each of the approximations (small angle and elliptic correction) deviate from the Verlet result by about 10%. Plot these on top of each other so that you can see easily where the deviation begins. 2. Use the Verlet method to calculate the period T(0m) of a simple pendulum as a function of the initial angle Om. Do this for many values of Om, being sure to use a time step t small enough that you obtain an accuracy of about 1%. (Run many trials for each Om and keep lowering T until the calculated period differs by less than 1%). Make a table of this data with four columns, Om, 20 VF/4.05, T(m), and (T(0m) 20 VE 19 %, T(@m), and (T(0m) 27 VL/9]. Make a plot of 240 V/902 on the t-axis vs. (T(Om) 21 VL/g) on the y-axis. On the same plot draw a line for the small angle approximation 2 L/g, and also plot the function from the elliptic integral that gave the first nontrivial correction T = 27 VL/g(1 + 02/16); it will be a straight line of slope 1 on this plot. Estimate the value of Om where each of the approximations (small angle and elliptic correction) deviate from the Verlet result by about 10%. Plot these on top of each other so that you can see easily where the deviation begins