A ball is projected horizontally with initial speed $\backslash ($ v$\_\{0\}\backslash )$ from a platform of height $\backslash ($ h $\backslash )$ on Earth. The ball's speed immediately before touching the ground is $\backslash ($ v$\_\{\backslash$mathrm$\{$e$\}\}\backslash ).$ The experiment is repeated on the Moon so that the ball is projected horizontally with the same speed from the same height. The acceleration due to gravity is less on the Moon than on the Earth. The ball's speed just before touching the ground is $\backslash ($ v$\_\{\backslash$mathrm$\{$m$\}\}\backslash ).$ Which speed is greater, and why?

$\backslash ($ v$\_\{\backslash$mathrm$\{$m$\}\}\backslash ),$ because the ball on the Moon will travel a greater horizontal distance before reaching the ground

$\backslash ($ v$\_\{\backslash$mathrm$\{$m$\}\}\backslash ),$ because the ball on the Moon has less acceleration to slow it down when it is on the Moon

$\backslash ($ v$\_\{$e$\}\backslash ),$ because the ball on the Moon achieves a smaller vertical component of velocity before reaching the ground

$\backslash ($ v$\_\{$e$\}\backslash ),$ because the ball on the moon travels less distance horizontally each second than the ball on the Earth