Spring Problem: Calculate Horizontal Distance of Ball Bearing

[Amel]

Homework Statement

A small steel ball bearing with a mass of 29.0 g is on a short compressed spring. When aimed vertically and suddenly released, the spring sends the bearing to a height of 1.41 m. Calculate the horizontal distance the ball would travel if the same spring were aimed 29.0o from the horizontal.

The Attempt at a Solution

Ok so I know that F = -kx but I don't get k or x in this problem. So I can' use that. I am not really sure where to start with this problem. Do I use F = ma? I still wouldn't be able to get its initial velocity out of that.

 

[Feldoh]

The easiest way to do this problem would be to use energy analysis, do you know how to do that?

 

[granpa]

how fast would an object dropped from a height of 1.4 meters be going. now find the horizontal and vertical components of that velocity if aimed at 29 degrees.