Final answer:
Both spheres A and B will hit the ground at the same time because their vertical descents are independent of their horizontal velocities.
Step-by-step explanation:
The question involves two spheres, A and B, that are horizontally projected from the top of a tower with different initial speeds. Assuming no air resistance and that both spheres are affected only by gravity, both spheres will hit the ground at the same time. This outcome is a result of the independence of horizontal and vertical motions in projectile motion. Sphere A, launched at 40m/s, and sphere B, launched at 20m/s, will have different horizontal ranges due to their different initial speeds; however, their vertical descent will be identical, assuming they are launched from the same height.