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Trajectory is the path in which the bomb would travel. This would depend on aerodynamics, airspeed, height of the drop and weather or not any guidance was used. Though widely assumed, weight plays no significant part in the falling of objects. Gravity effects all mass the same.

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The main idea is what you get in Physics... the movement has two components. Yes, the dropped bomb would fall... but not just down, down. As mentioned aerodynamics, weight, etc. influence the path, but mainly the bomb would "try" to maintain a movement in the direction the plane is flying, too. That means, if a bomb is just dropped at the moment the plane is over its target, the bomb will miss the target. It has to be dropped before the plane is over the target... while falling, the bomb will move forward, and hit the target.

That's interesting as a fact. But beside this, war is a bad thing.

Mathematical: If you imagine the plane as the vertex of a convex parabola (-x^2) the bomb would fall "forward" in the positive direction the plane is traveling. The changing slope of the bomb's descent {derivative, f'(x)=2x} would depend on factors such as the plane's velocity and altitude.

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Q: When dropped from an airplane what is trajectory of the bomb?
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