A shell projected from a level ground has a range R, if it did not explode. At the highest point, the shell explodes into two fragments having masses in the ratio 1:2, with each fragment moving horizontally immediately after the explosion. If the lighter fragment falls at a distance R/2 from the point of projection, behind the point of projection, what is the distance at which the other fragment falls from the point of projection ?

Answer

7R/4