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Question

A bomb is dropped from a plane flying horizontally with uniform speed. Show that the bomb will explode vertically below the plane. Is the statement true if the plane files with uniform speed but not horizonrally ?

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Solution

(i) During, the motion of homb its horizontal velocity 'u' remains constant and is same as that of aeroplane at every point of its path.

Suppose the bomb explodes i,e. reaches the ground in time, t

Distance travelled in horizontal direction by bomb = ut = the distance travelled by aeroplane.

So bomb explodes vertically below the aeroplane.

(ii) Let the aeroplane moves making angle θ with horizontal for both bomb and aeroplane.

Horizontal distance =u cos θ t

t = time for bomb to reach the ground.

So, in this case also, the bomb will explode vertically below the aeroplane.


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