A spherical cannonball of mass 2M is launched with an initialvelocity v0 at an angle of 45° above the horizontal. There is anexplosive charge between the two halves of the cannonball which isdetonated when the cannonball has reached the highest point of itstrajectory. One half of the cannonball (mass M) is propelledbackwards exactly along the original trajectory and lands back inthe cannon (good trick!). Ignore air resistance for thisproblem.
a) Assuming level terrain, find the range of the center of massof the system, i.e., how far away from the cannon does the centerof mass of the system land?
b) Find the velocity of the second half of the cannonball (theone that doesn't land back in the cannon) immediately after theexplosion.
c) How far away from the cannon does the second half of thecannonball land?
