The skier begins to descend from the mountain, having an initial speed of 2 m / s. and within 0.5 min. travels 240 m.

| January 11, 2021 | education

The skier begins to descend from the mountain, having an initial speed of 2 m / s. and within 0.5 min. travels 240 m. With what acceleration does the skier descend from the mountain and what is his speed at the end of the descent?

Task data: V0 (speed at the beginning of the descent) = 2 m / s; t (duration of descent) = 0.5 min (in SI t = 30 s); S (distance traveled) = 240 m.
1) Determine the acceleration of the skier under consideration during the descent: S = V0 * t + a * t ^ 2/2, whence a * t ^ 2/2 = S – V0 * t and a = (S – V0 * t) * 2 / t ^ 2 = (240 – 2 * 30) * 2/30 ^ 2 = 0.4 m / s2.
2) Determine the speed at the end of the descent: V = V0 + a * t = 2 + 0.4 * 30 = 14 m / s.
Answer: The skier in question descended the mountain with an acceleration of 0.4 m / s2 and was able to develop a speed of 14 m / s.



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