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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