What is the maximum height achieved if a 0.600 kg mass is thrown straight upward with an initial speed of 75.0 mâ·sâ1? ignore the effect of air resistance?

We can solve the problem by using the law of conservation of energy:

- at the beginning, all mechanical energy of the object is just kinetic energy: , where m is the mass and v is the velocity

- at the point of maximum height, all mechanical energy of the object is just gravitational potential energy: , where h is the maximum height

Therefore, the conservation of energy becomes:

Re-arranging, we find the maximum height:

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