# A skier can go downhill in 10 seconds. Its initial speed is 18 km / h, and its acceleration is 0.2 m / s ^. Find the length of the mountain.

January 17, 2021 | education

| Task data: t (duration of the skier’s descent from the mountain) = 10 s; V0 (initial speed) = 18 km / h (in SI V0 = 5 m / s); a (acceleration of the skier in question) = 0.2 m / s2.

The length of the mountain (distance traveled by the skier) can be calculated using the formula: S = L = V0 * t + a * t ^ 2/2.

Let’s calculate: L = 5 * 10 + 0.2 * 10 ^ 2/2 = 60 m.

Answer: The length of the mountain is 60 meters.

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