A man standing on the edge of a cliff throws a stone straight up with initial speed u and then throw another stone straight down with same initial speed u and from the same position. Find ratios of speeds, two stones would attain, when they hit ground at the base of the cliff.

The stone thrown upward reaches back to the thrower with speed u.

Thus both the stones fall under the influence of gravity with same initial velocity u so the two stones will hit the ground with same speed. Hence ratio of their speed when they hit ground is 1