Very vague question about projectile launch angle

[scavok]

The launching speed of a certain projectile is 5.2 times the speed it has at maximum height. What is the elevation angle at launching?

Could someone just give me a starting point or a hint in the right direction?

I know that the horizontal velocity doesn't decrease, and the vertical velocity is 0 at the maximum height. I can't put it together though; it seems like there isn't enough information given. How can you possibly tell by how much of a factor the speed is being affected by the vertical velocity, when you don't know the horizontal velocity?

 

[Psi-String]

Maybe you can assume the magnitude V of the lunching speed and find the relation between it and the horizontal velocity.Hint: use trigonometry

 

[andrevdh]

At the maximum height the y component of the velocity is zero, therefore the speed at maximum height is only the x-component of the motion. The x-component of the velocity stays the same throughout the motion.