What speed can a skier reach when driving down a 10 m high mountain?

Problem data: h (the height of the mountain from which the skier drives down) = 10 m; the friction force is not taken into account.

Reference values: g (acceleration due to gravity) ≈ 10 m / s2.

The speed that a skier can develop when descending a mountain can be calculated using the law of conservation of energy: En1 + Ek1 = Ek2 + En2; En1 + 0 = Ek2 + 0 and m * g * h = m * V2 / 2; V = √ (2 * g * h).

Let’s calculate: V = √ (2 * 10 * 10) = 14.14 m / s.

Answer: The skier will be able to develop a speed of 14.14 m / s.