A projectile is launched with speed v, at an angle of Θ with respect to the horizontal. At the peak of its motion, it explodes
into two pieces of equal mass, which continue to move in the
original plane of motion. One piece strikes the ground a hori-
zontal distance D further from the launch point than the point
directly below the explosion at a time t < vo sinΘ/g after the
explosion. How high does the other piece go? Where does the
other piece land? Answer in terms of vo, Θ, D, and t.