Shots are fired simultaneously from the top and the bottom of a vertical cliff with elevation 37- and 53- respectively as shown- If they strike the ground simultaneously- then the relation between u 1 and u 2 isA- 3 u 1-4 u 2B- 4 u 1-3 u 2C- u 1- u 2D- u 1- u 2-2

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Heights & Distances

Shots are fir...

Question

Shots are fired simultaneously from the top and the bottom of a vertical cliff with elevation $37^{\circ}$ and $53^{\circ}$ respectively as shown. If they strike the ground simultaneously, then the relation between $u_{1}$ and $u_{2}$ is

3 u_{1} = 4 u_{2}

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4 u_{1} = 3 u_{2}

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u_{1} = u_{2}

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u_{1} = \frac{u_{2}}{2}

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Solution

The correct option is B $4 u_{1} = 3 u_{2}$

As they strike at the some time and horizontal distance is same for both,
$u_{1}$ cos 37 = $u_{2}$ cos 53
$\Rightarrow u_{1} \frac{4}{5} = u_{2} \frac{3}{5}$
$∴ 4 u_{1} = 3 u_{2}$

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