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Multivariable CalculusMediumCurves & Motion

Curves & Motion · Medium problem

A car's tires can safely supply a total acceleration of at most 55 m/s2^2. While rounding a curve of radius 2525 m, the car is speeding up at a constant 33 m/s2^2. Find the fastest speed (in m/s) at which it can take the curve without exceeding the tires' limit.