Height, angles, and projectiles

AI Thread Summary
A spring-loaded gun can launch a projectile to a maximum height h when fired straight up. When fired at a 45-degree angle from the vertical, the maximum height reached by the projectile is debated, with suggestions including h/2 and h/2√2. The discussion emphasizes using conservation of energy and Newton's second law to analyze the problem. The relationship between the angles and heights is noted, but clarity on the correct height calculation is sought. Understanding the physics principles involved is crucial for determining the projectile's maximum height at an angle.
FrenchAtticus
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Homework Statement



A spring-loaded gun can fire a projectile to a height h if it is fired straight up.
If the same gun is pointed at an angle of 45 degrees from the vertical, what maximum height can now be reached by the projectile.

1. h _
2. h / 2\/2
3. h / 2 _
4. h / \/2
5. h / 4

2. The attempt at a solution

I believe it would be h / 2, but I'm not sure why other than the fact that 90/2=45 and the heights would therefore be relative.
 
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Welcome to PF!

FrenchAtticus said:
A spring-loaded gun can fire a projectile to a height h if it is fired straight up.
If the same gun is pointed at an angle of 45 degrees from the vertical, what maximum height can now be reached by the projectile.

Hi FrenchAtticus! Welcome to PF! :smile:

Hint: use conservation of energy, and Newton's second law horizontally. :wink:
 

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