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Standard XII

Physics

Relative Velocity in 2D

An aircraft f...

Question

An aircraft flying horizontally at $360 k m / h r$ releases a bomb (with zero velocity relative to the aircraft) at a stationary tank $200 m$ away from a point just below the aircraft. What must be the height of the aircraft above the tank if the bomb is to hit the tank?

100 m

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9.8 m

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19.6 m

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98 m

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Solution

The correct option is C $19.6 m$
$360 \frac{k m}{h r} = \frac{360 \times 1000}{60 \times 60} = 100 m / s$
The speed of aircraft = 100\ m/s$
Bomb speed $= 100 m / s$ (because x speed of aircraft and bomb is $300$ )
Now
Time required to hard $200 m$
$= \frac{200}{100} = 2 (∵$ No. aircarft in horizontal direction )
Also time $= \sqrt{\frac{2 h}{g}} = 2$
$∴ h = \frac{4 \times 90}{2} = 19.6 m$

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An aircraft flying horizontally at 360 km/hr releases a bomb (with zero velocity relative to the aircraft) at a stationary tank 200 m away from a point just below the aircraft. What must be the height of the aircraft above the tank if the bomb is to hit the tank?

The correct option is C 19.6 m360kmhr=360×100060×60=100 m/sThe speed of aircraft = 100\ m/s$Bomb speed =100 m/s (because x speed of aircraft and bomb is 300)Now Time required to hard 200 m=200100=2(∵ No. aircarft in horizontal direction )Also time =√2hg=2∴h=4×902=19.6 m

An aircraft flying horizontally at $360 k m / h r$ releases a bomb (with zero velocity relative to the aircraft) at a stationary tank $200 m$ away from a point just below the aircraft. What must be the height of the aircraft above the tank if the bomb is to hit the tank?