Question

An aeroplane is flying horizontally with a velocity of 600 km/h at a height of 1960 m. When it is vertically above a point A on the ground, a bomb is released from it. The bomb strikes the ground at point B. The distance AB is

• A. 1200 m
• B. 0.33 km
• C. 3.33 km
• D. 33 km

Answer 1

The correct option is C

3.33 km

The time taken by bomb to reach the ground falling from a height h = 1960 m is given by
$t=\sqrt{\frac{2h}{g}}={\left(\frac{2\times 1960}{9.8}\right)}^{1/2}=20s=\frac{20}{60\times 60}h=\frac{1}{180}h$
$\therefore$ Distance AB $=vt=600\times \frac{1}{180}=3.33km$
Hence, the correct choice is (c).