A shell is fired vertically upwards with a velocity v₁ from the deck of a ship travelling at a speed of v₂. A person on the shore observes the motion of the shell as parabola whose horizontal range is given by

• A

  $\frac{2{\mathrm{v}}_1^2{\mathrm{v}}_2}{\mathrm{g}}$

• B

  $\frac{2{\mathrm{V}}_1{\mathrm{V}}_2^2}{\mathrm{g}}$

• C

  $\frac{2{\mathrm{v}}_1{\mathrm{v}}_2}{\mathrm{g}}$

• D

  $\frac{2{{\mathrm{v}}_1}^2{{\mathrm{v}}_2}^2}{{\mathrm{g}}^2}$