Solve Bead Problem: Find Height & Angle for 4.5m/s Velocity

[Broodwich08]

Homework Statement

Homework Statement [/b]
Situation: bead sliding on a fristionless wire.
How large must the hieght be if the bead starting at rest is to have a velocity of 4.5m/s at the lower point? What angle will give the shortest time to achieve the correct velocity?

Homework Equations

The Attempt at a Solution

I attempted to first finding h by using the conservation of energy Potential(intial)=Kinetic(final) and i came out with 1.033m. let me know if i was right. The main problem is the second part. I'm drawing a blank to find the angle with only one component. Maybe I am missing something. Thank u in advanced

 

[The legend]

i think the shortest time would be for that angle in which the acceleration along the vertical is maximum. So what would that angle be?

And I do get the same answer as you did for the first part.