Finding an angle of trajectory from a tangential launch.

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Jae
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Homework Statement


ballLaunch.PNG


Homework Equations


1/2mv^2, mgh, and basic kinematics equations

The Attempt at a Solution


I set the height = 0 at moment before the launch.

To get the velocity, I used:
energy before the ball starts accelerating (PE) = energy right before the ball leaves the ark (KE)

I'm stuck on Part B, because I'm having trouble getting the angle of the launch.
I set the x-axis as the ground.

Thank you for your help.
 
on Phys.org
The launch angle is the angle the velocity encloses with the horizontal. And you know, that the velocity is tangent to the track. You also know that the velocity around a circular track is perpendicular to the radius.
launchangle.JPG