Gunshot distance flat/slope

[johnsmi]

Hi,

I have this question I've been asked.

Scenario 1:
A sniper has to take a long range shot acroos a flat field

Scenrio 2:
The sniper has to shoot along a path going uphill at an angle (alpha).

Which of the two bullets will travel further? (take into consideration energy conservation)

If this one was too easy for you you can add to that the fact that the scope on the rifle is arranged at a 5⁰ angle more than the barrel.

 

[tyco05]

What are your thoughts?

 

[nlightner]

I would approach this question by considering the principles of projectile motion and energy conservation. In both scenarios, the bullet will experience the same initial force from the rifle, but the path it takes will be different due to the angle of the terrain and the angle of the scope.

In scenario 1, the bullet will travel further due to the flat terrain. This is because there is no resistance or change in elevation for the bullet to overcome, allowing it to maintain its initial velocity for a longer distance. In scenario 2, the bullet will not travel as far due to the uphill slope. The bullet will have to overcome the force of gravity and the change in elevation, causing it to lose energy and slow down.

However, if we take into account the angle of the scope being 50 degrees more than the barrel, it could potentially increase the distance the bullet travels in scenario 2. This is because the bullet will be launched at a higher angle, giving it a longer flight time and potentially allowing it to travel further.

In conclusion, the bullet in scenario 1 will travel further due to the flat terrain and lack of resistance, but the angle of the scope in scenario 2 could potentially increase the distance the bullet travels. Ultimately, the exact distance the bullet travels will depend on various factors such as air resistance, wind, and the specific characteristics of the bullet and rifle used.