Bullet Projectile motion Problem

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The discussion centers on the independent nature of horizontal and vertical motion components, illustrated through a dart gun demonstration. It concludes that, in the absence of air resistance, the horizontal velocity remains constant. A student questions whether a projectile shot at point-blank range causes more damage than one shot from a distance. The consensus is that, without air resistance, impact damage would be the same, as vertical velocity is negligible compared to horizontal velocity. However, with air resistance, a projectile traveling a longer distance would experience reduced impact velocity and damage.
david-scott
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Today I had a question from a student that made me think. Maybe I am just over thinking this.

We were discussing the independent nature of horizontal and vertical components of motion. This was done through shooting a dart gun. We came to the conclusion that (without air resistance) the horizontal velocity component of a moving body remains constant.

A student then asked the following question:
"If you shoot something at point blank range, would it do more damage than shot from far away?"

I was puzzled for a moment, but my gut thinks that it should be the same. Am I right?
 
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well if more damage means higher impact velocity then it depends on the air resistance and the vertical velocity. But the vertical velocity would be almost negligible compared to the horizontal velocity.
 
So...if shot from a completely horizontal position and no air resistance...it would be the same.

With air resistance the bullet that covers a longer distance would have less effect/velocity/impact
 
The book claims the answer is that all the magnitudes are the same because "the gravitational force on the penguin is the same". I'm having trouble understanding this. I thought the buoyant force was equal to the weight of the fluid displaced. Weight depends on mass which depends on density. Therefore, due to the differing densities the buoyant force will be different in each case? Is this incorrect?

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