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Seriously, "S" for speed? Shame on you :\
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s = sqrt(2gh), a = g*cos(theta)

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hmm rotational energy of the rolling ball is missing...
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Where was twitter and this handle when I was taking physics 1 in undergrad 7years ago?
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if you ignore friction then conservation of energy makes this pretty easy!
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And if you dropped multiple balls on a curve like this, but from varying heights, they would all hit base at the same time.
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Is the hill muddy?
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Nope. The gravitational force is constant, but the component tangent to the curve decreases since it flattens out, so a decreases
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