Question

A box falls out of an airplane that is traveling horizontally at 100m/s. The plane is at an altitude of 300m. Where does the box land relative to where it was dropped from?

Answer 1

Given:

A box falls out of an airplane that is traveling horizontally at 100m/s. The plane is at an altitude of 300m.

To find:

Position where the box lands on the ground.

Calculation:

THIS IS AN EXAMPLE OF AIR-GROUND PROJECTILE.

Let the time taken to reach the ground be "t":

$\therefore \: h = \dfrac{1}{2} g {t}^{2}$

$= > \: 300= \dfrac{1}{2} \times 10 \times {t}^{2}$

$= > \: 300= 5\times {t}^{2}$

$= > \:{t}^{2} = 60$

$= > \: t = 7.745 \: sec$

Now , range of the box be R :

$\therefore \: R = v \times t$

$= > \: R = 100 \times 7.74$

$= > \: R = 774.5\: m$

So, the box lands the ground 774.5 metres away and 300 m below the point from where it was released.

HOPE IT HELPS.