1. Projectile Motion and Newton's Laws: A projectile of mass m is launched from a flat surface with initial velocity vo at an angle 00 to the horizontal. At some time to in its flight, a spring mechanism activates, breaking the projectile into two pieces of different masses. The event causes one piece with mass mi to fly away with a relative speed v at an angle of 0 to the horizontal, and the second mass mz to fly away with a different relative speed v' and angle 0'. a. Solve for the second piece's relative speed v' and angle 0' of separation in terms of the first piece's relative speed v and angle 0, and the masses mi and m2. What law is demonstrated by this calculation? 0' = b. By adding the relative velocities to the original projectile motion, write down the new equations of motion for the two pieces, after the separation event (t = t - tel. x, (t ) = + t+ y1 (t) = + t + *2 (t ) = + t + f2 y2 (t ) = + f + F2 c. Solve for where each piece will hit the ground. Show your work. Xiland = X2land = d. Use your results from c. to calculate the center of mass landing position via the center of mass equation: mix, + m2x2 XCM = m, + m2 XCMland = Does this result make sense? Explain why this doesot align with your beliefs