# Skier follows a curve

A skier travels with a constant speed of $$6~m/s$$ along a parabolic path $$y=\frac{x^2}{20}$$. If the acceleration of the skier when he is at $$(10,5)$$ is $$\large{\frac{a\sqrt{b}}{c}}$$ . Neglect the size of skier. Find $$a+b+c$$

Details

$$a,c,$$ are co prime natural numbers and $$b$$ is a square free number

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