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Standard XII

Physics

Relative Position

An aeroplane,...

Question

An aeroplane, when it is vertically above the point $A$ on the ground, drops a bomb which hits target $B$ on the ground. If the plane is moving at a height of $1.96 k m$ from the ground with a speed of $300 m / s$ , then distance between $A$ and $B$ is (neglecting air resistance)

3 k m

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6 k m

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3 m / s

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4 m / s

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Solution

The correct option is B $6 k m$
Time taken by the bomb to reach the ground is:
$h = u t + \frac{1}{2} g t^{2}, (u = 0)$
$t = \sqrt{\frac{2 h}{g}}$
$t = 20 s e c$
Horizontal distance travelled by the bomb in this time interval is:
$s = v t$
$= 300 \times 20$
Then the distance between $A$ and $B$ , $d = 6000 m = 6 k m$

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An aeroplane, when it is vertically above the point A on the ground, drops a bomb which hits target B on the ground. If the plane is moving at a height of 1.96km from the ground with a speed of 300m/s, then distance between A and B is (neglecting air resistance)

The correct option is B 6kmTime taken by the bomb to reach the ground is:h=ut+12gt2,(u=0)t=√2hgt=20secHorizontal distance travelled by the bomb in this time interval is:s=vt =300×20Then the distance between A and B, d=6000 m=6 km

An aeroplane, when it is vertically above the point $A$ on the ground, drops a bomb which hits target $B$ on the ground. If the plane is moving at a height of $1.96 k m$ from the ground with a speed of $300 m / s$ , then distance between $A$ and $B$ is (neglecting air resistance)