Weightless roller coaster

A roller coaster goes over a hill of radius \(30\text{ m}\). If the roller coaster moves at a great speed, then it will lose contact with the ground and fall freely in a parabolic trajectory. Under the free fall, people sitting in the roller coaster will feel weightless.

What is the minimum speed (in \(\text{m/s}\)) required to achieve the weightlessness?

Give your answer to 2 decimal places.

Take \(g = 9.8\text{ m/s}^{2}\).

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