A stone is thrown horizontally from the top of a cliff and eventually hits the ground below. A second stone is dropped from rest from the same cliff, falls through the same height, and also hits the ground below. Ignore air resistance. Discuss whether each of the following quantities is different or the same in the two cases; if there is a difference, describe the difference:_________ (a) displacement, (b) speed just before impact with the ground,(c) time of flight.

As both stones has the same vertical velocity so the time of flight is the same. If we talk about the displacement then the stone which is thrown horizontally has the horizontal displacement and vertical displacement too so it has greater net displacement in comparison with that of stone thrown vertically. From going top to bottom the kinetic energy changes into potential energy. So the change of energy is same for both cases but the one which thrown horizontally has the higher value of kinetic enrgy initially and also finally so it's impact speed is greater.