Does a Bomb Dropped from a Plane Explode Directly Below It?

[xiphoid]

Homework Statement

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?

Homework Equations

Equations of projectile perhaps

The Attempt at a Solution

Clearly, if I imagine a bomb being thrown from the front of the airplane, then I would think that this statement is relevant, don't have any idea about the consequences when the bomb will be dropped from the wings to which it is usually being attached...

Theory wise, ?

 

[Borek]

I guess you can safely assume both plane and bomb to be points.

 

[xiphoid]

Then what about the theory part, I can only imagine those situations- to convert them into paper is somewhat difficult

 

[HallsofIvy]

I'm not sure what "theory" you are talking about. The main physics point here is that, initially, the bomb has the same horizontal speed as the plane (or its wings!) and, neglecting air resistance, maintains that horizontal speed until it hites the ground.

 

[xiphoid]

Got it.

I'm not sure what "theory" you are talking about. The main physics point here is that, initially, the bomb has the same horizontal speed as the plane (or its wings!) and, neglecting air resistance, maintains that horizontal speed until it hites the ground.