With what speed does a jumper need to push off in order to overcome a height of 2 meters?

Given:

h = 2 meters – the height that the jumper must overcome;

g = 10 Newton / kilogram – acceleration of gravity (constant value for calculations in physics).

It is required to determine v (meter per second) – with what speed the jumper needs to push off in order to overcome the height h.

Since the condition of the problem does not indicate that the actions of extraneous forces (for example, the force of air resistance), we will not take into account in solving the problem.

Then, according to the law of conservation of energy:

Ekinetic = Epotential:

m * v ^ 2/2 = m * g * h, where m is the mass of the jumper;

v ^ 2/2 = g * h;

v ^ 2 = 2 * g * h;

v = (2 * g * h) ^ 0.5 = (2 * 2 * 10) ^ 0.5 = (4 * 10) ^ 0.5 = 40 ^ 0.5 = 6.3 m / s (result has been rounded to one decimal place).

Answer: the jumper needs to jump at a speed of 6.3 m / s.