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.
 
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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