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A rock of mass $m$ is thrown from the edge of a cliff at a speed $v_{0}$. The cliff is a height $d$ above the ground below. The rock has a speed $v$ when it reaches the ground

Which of the following is a correct expression for the total mechanical energy of the rock-Earth system as the rock reaches the ground below (using the ground as the reference level)?

A

$mgd$

B

$\frac { 1 }{ 2 } m{ v_{0} }^{ 2 }+mgd$

C

$\frac { 1 }{ 2 } m{ v }^{ 2 }$

D

$\frac { 1 }{ 2 } m v^{ 2 }+mgd$

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