A boy projects a stone vertically perpendicular to the trolley car with a speed v. If the trolley car moves with a constant velocity u, the horizontal range of the stone is:

• A

  $\frac{{(\mathrm{u}+\mathrm{v})}^2}{\mathrm{g}}$

• B

  $\frac{|\overrightarrow{\mathrm{u}}+\overrightarrow{\mathrm{v}}{|}^2}{\mathrm{g}}$

• C

  $\frac{2{\mathrm{v}}^2}{\mathrm{g}}$

• D

  $\frac{2\mathrm{uv}}{\mathrm{g}}$