Assignment:
An instrument carrying projectile accidentally explodes at the top of its trajectory. The horizontal distance between the launch point and the point of explosion is L. The projectile breaks into pieces which fly apart horizonally. The larger piece has three times the mass of the smaller piece. To the surprise of the scientist in charge, the smaller piece returns to earth at the lauching station. How far away does the larger piece land? Neglect air resistance and effects due to the earth's curvature.