Height, angles, and projectiles

[FrenchAtticus]

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.

 

[tiny-tim]

Welcome to PF!

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!

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