Formula Horizontal / Oblique Throw Velocity Horizontal velocity Vertical velocity
$$v ~=~ \sqrt{ {v_{\text x}}^2 ~+~ {v_{\text y}}^2 }$$ $$v ~=~ \sqrt{ {v_{\text x}}^2 ~+~ {v_{\text y}}^2 }$$ $$v_{\text x} ~=~ \sqrt{ v^2 ~-~ {v_{\text y}}^2 }$$ $$v_{\text y} ~=~ \sqrt{ v^2 ~-~ {v_{\text x}}^2 }$$
Velocity
$$ v $$ Unit $$ \frac{\mathrm m}{\mathrm s} $$ Total velocity at a given time or height of a body thrown obliquely or horizontally.
Horizontal velocity
$$ v_{\text x} $$ Unit $$ \frac{\mathrm m}{\mathrm s} $$ Current velocity of the body in the horizontal direction.
Vertical velocity
$$ v_{\text y} $$ Unit $$ \frac{\mathrm m}{\mathrm s} $$ Current velocity of the body in the vertical direction.