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 flies with uniform speed but not horizontally ?Concept of Physics - 1 , HC VERMA , Chapter "Rest and Motion : Kinematics

Answer 1

Solution:
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During the motion of bomb, its horizontal velocity u remains constant and is same as that of aeroplane at every point of its path.

Let us suppose the bomb explodes and reaches ground in time "t"

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

So bomb explode vertically below the aeroplane.

II) Let the aeroplane move making angle θ with horizontal for both bomb and aeroplane .
Horizontal distance=u cosθt
t-- time for bomb to reach ground
So in this case also bomb will explode vertically below the aeroplane.