A bomb is dropped from an airplane

In summary, the conversation discusses the trajectory of a bomb dropped from an airplane and how it appears to fall in a vertical direction from the ground, but from the airplane's reference frame it falls straight down. The connection to differentiation is unclear and there is no answer in the given book.
  • #1
karush
Gold Member
MHB
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View attachment 1553

this looks like a very easy problem but I was ? about the bomb not dropping really in a vertical direction but implies that when it hits the ground it will right over the plane?
this was under exercises for differentiation but don't why it would be used for this
no ans in bk on this one..
 
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  • #2
Re: a bomb is dropped from an airplane

karush said:
View attachment 1553

this looks like a very easy problem but I was ? about the bomb not dropping really in a vertical direction but implies that when it hits the ground it will right over the plane?
this was under exercises for differentiation but don't why it would be used for this
no ans in bk on this one..
Given that the airplane is moving at some rate, the bomb will be moving at the same rate in the horizontal (i.e. $x$) direction the instant it's released from the plane. From the reference frame of the ground, the bomb takes on a parabolic trajectory (where it's path is given by the equation $s(t)=-16t^2+s_0$). However, from the reference frame of the plane, it will appear as if the bomb is falling straight down.

Does this clarify things?
 

FAQ: A bomb is dropped from an airplane

What is the impact of dropping a bomb from an airplane?

The impact of dropping a bomb from an airplane depends on various factors such as the type and size of the bomb, the altitude and speed of the airplane, and the target location. It can cause significant destruction and loss of life.

How accurate are bombs dropped from airplanes?

The accuracy of bombs dropped from airplanes has significantly improved with advancements in technology. However, there is still a margin of error, and factors such as weather conditions and human error can also affect accuracy.

What are the potential consequences of dropping a bomb from an airplane?

The consequences of dropping a bomb from an airplane can be catastrophic. It can cause loss of life, destruction of infrastructure, and long-term environmental and health impacts. It can also lead to political and social consequences.

What precautions are taken before dropping a bomb from an airplane?

Before dropping a bomb from an airplane, strict protocols and procedures are followed to ensure the safety of the crew, the aircraft, and the surrounding areas. This includes thorough planning, target identification, and coordination with ground forces.

What are the alternatives to dropping a bomb from an airplane?

There are various alternatives to dropping a bomb from an airplane, depending on the situation and objective. These may include using precision-guided missiles or conducting ground operations with troops. Diplomatic and political solutions can also be considered as alternatives to military action.

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