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A projectile is launched horizontally from a height $h$ at an initial speed ${ v }_{\text{launch}}$.

Which of the following expressions determines how far the projectile moves horizontally before striking the ground?

A

${ v }_{\text{launch}}\sqrt { \cfrac { 2h }{ g } } $

B

$\cfrac { 1 }{ 2 } g{ \left( \cfrac { h }{ { v }_{ \text{launch} } } \right) }^{ 2 }$

C

${ v }_{ \text{launch} }\sqrt { \cfrac { 2h }{ g } } + h$

D

$h + \cfrac { 1 }{ 2 } g{ \left( \cfrac { h }{ { v }_{ \text{launch} } } \right) }^{ 2 }$

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