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

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$\frac{2 v_{1}^{2} v_{2}}{g}$

$\frac{2 v_{1} v_{2}}{g}$

$\frac{2 V_{1} V_{2}^{2}}{g}$

$\frac{2 {v_{1}}^{2} {v_{2}}^{2}}{g^{2}}$

answer is C.

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Detailed Solution

The range R is given by

$\begin{array}{l} R = \frac{2 \times hor. comp. of velocity \times ver. comp. of velocity}{g} \\ = \frac{2 v_{1} v_{2}}{g} \end{array}$

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