The acceleration due to gravity on a planet is 1.96 ${{ms}^{-2}}$

The acceleration due to gravity on a planet is 1.96 ${{ms}^{-2}}$. If it is safe to jump from a height of 2 m on the earth, what will be the corresponding safe height on the planet?

The safety of a person depends upon the momentum with which the person hits the planet. Since, the mass of the person is constant therefore the maximum velocity v is the limiting factor.