Run the experiment and note the largest angle the pendulum reaches (15.80) , which you can use to determine the maximum height the Target+Bullet reaches above its original hanging height (i.e. when it's at 0 degrees). Calculating the maximum pendulum height reached will require knowing the length of the pendulum (The length of the pendulum from its point of rotation to its center of mass with the bullet embedded in the target is 2 meters) and some trigonometry using the maximum angle reached.

(The acceleration due to gravity used by the simulation is g = 9.81 m/s^2.)

Please explain of each of the calculation steps required to calculate the initial bullet launch velocity based on the maximum pendulum height found in your experiment , including the equation required at each step and why you use that equation for that step(generic variables used in your equations - no numbers used ).You should also explain how to calculate the initial energy of the system when the bullet is first launched and the final energy of the system when the pendulum has reached its maximum height to show the difference in energy between start and end of the process, which is due to energy that was lost during the collision of the bullet with the target.