A skier, descending uniformly from a 120 m long slope, develops a maximum speed of 12 km / h (10/3 m / s)

A skier, descending uniformly from a 120 m long slope, develops a maximum speed of 12 km / h (10/3 m / s) for an unknown time. average sk. also unknown. with what acceleration does the skier move?

Task data: S (slope length) = 120 m; V (the maximum speed developed by the skier under consideration) = 12 km / h (in SI V = 3.33 m / s); uniformly accelerated motion; we take V0 (speed at the beginning of the slope) = 0 m / s.

We express the constant acceleration with which the skier in question had to move from the formula: S = (V ^ 2 – V0 ^ 2) / 2a, whence a = (V ^ 2 – V0 ^ 2) / 2S.

Let’s perform the calculation: a = (3.33 ^ 2 – 0 ^ 2) / (2 * 120) ≈ 0.046 m / s2.

Answer: The constant acceleration of the skier in question was 0.046 m / s2.