Answer:
[tex]\frac{X}{2}[/tex]
Explanation:
The horizontal displacement for each sphere is given by [tex]v_x\cdot t[/tex], where [tex]v_x[/tex] is horizontal velocity and [tex]t[/tex] is time. There exists no other variables that will affect the horizontal displacement (where each object lands). Since the horizontal velocity of B is exactly half of A, its horizontal displacement should also be half A, because the following factors:
-mass of spheres are the same
-time in air will be the same because both the spheres begin with no vertical velocity
-rotational inertia is negligible (implied in the problem that spheres have equal density)
Thus, if sphere A lands at some spot X, sphere B must land at some position [tex]\frac{X}{2}[/tex].
