Question

A transport airplane flies horizontally with a constants velocity of 600km/h,at a height of 2km.directly over a marker it releases an empty fuel tank.How far ahead of the marker does the tank hit the ground?at this time,is the airplane ahead or behind the tank?

Answer 1

Question#19154

A transport airplane flies horizontally with a constants velocity of $600\mathrm{km/h}$, at a height of $2\mathrm{km}$. Directly over a marker it releases an empty fuel tank. How far ahead of the marker does the tank hit the ground? At this time, is the airplane ahead or behind the tank?

Solution:

Let:

$$v = 600 \ \mathrm{km/h} = 167 \ \mathrm{m/s}$$ $$H = 2 \ \mathrm{km} = 2000 \ \mathrm{m}$$

S-?

$S = vt$, were $t$ - is the falling time

$$H = \frac{1}{2} g t^2, \quad t = \sqrt{\frac{2H}{g}}$$ $$S = v \sqrt{\frac{2H}{g}}$$ $$S = 167 \sqrt{\frac{2 \cdot 2000}{9.8}} = 3374 \ \mathrm{m}$$

Answer: the tank hit the ground 3374 m ahead of the marker, at this time airplane is over the tank.