Con qué velocidad inicial debe lanzarse un objeto directamente hacia arriba para que su altura máxima sea 25 m?

Question

Con qué velocidad inicial debe lanzarse un objeto directamente hacia arriba para que su altura máxima sea 25 m?

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Cherry 3 years 2021-08-31T05:09:11+00:00 1 Answers 47 views 0

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    2021-08-31T05:10:26+00:00

    Answer:

    v₀ = 22.1 m / s

    Explanation:

    This is an exercise in kinetics, let’s set a vertical reference system with the positive direction up.

              v² = v₀² – 2 g (y-y₀)

    the final velocity at the highest point is zero and as it leaves the floor the initial height is zero

              0 = v₀² – 2gy

             v₀ = \sqrt{2gy }

    let’s calculate

            v₀ = \sqrt{2 \ 9.8 \ 25}

            v₀ = 22.1 m / s

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