Why the conservation energy doesn't work out?

In the
first case, a ball with a mass m is thrown vertically upward,
second case, a ball with the same mass is thrown horizontally,
third case, a ball with the same mass is thrown vertically downward,

Compare the velocity v when the ball hit the ground for the first, second and third case.

If I use conservation of energy to work it, I find that the velocity at the bottom of the ground is the same for each case.

However, if I use equation of linear motion, I find that the second case, the ball hits the ground with a velocity smaller than the first and third case.

What is wrong??? I'm totally confused.

Attachments

• Resize of 1.JPG
29.5 KB · Views: 357

While the first and third cases only involve vertical motion, the second case also involves horizontal motion. But when you applied the kinematic equation to the second case, you ignored the horizontal speed. That adds an extra $1/2 m u^2$ to the energy.