An airplane traveling at 1008 meters above the ocean at 135 km/h is going to drop a box of supplies to shipwrecked victims below. How many seconds before the plane is directly overhead should the box be dropped?

Respuesta :

The horizontal velocity of the airplane is,

[tex]v=135\text{ km/h}[/tex]

The height of the airplane is,

[tex]h=1008\text{ m}[/tex]

The vertical initial velocity of the box is zero as the airplane is moving in the horizontal direction.

let the time to reach the victim is t.

we can write,

[tex]\begin{gathered} h=\frac{1}{2}gt^2 \\ t=\sqrt[]{\frac{2h}{g}} \end{gathered}[/tex]

Substituting the values we get,

[tex]\begin{gathered} t=\sqrt[]{\frac{2\times1008}{9.8}} \\ =14.3\text{ s} \end{gathered}[/tex]

Hence the required time is 14.3 s