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Gre4nikov [31]
2 years ago
12

3. Una piedra que se tira verticalmente hacia arriba se mueve según la

Chemistry
1 answer:
BartSMP [9]2 years ago
5 0

Answer:

Explanation:

Para mejor entendimiento, reeescribiremos la ley que pusiste:

S = 64t - 8t²    (1)

De acuerdo al enunciado del problema, S tiene unidades de pie y t en segundos, por lo tanto, S, que se refiere a la posición o altura alcanza de la piedra, puede ser determinado usando esa expresión a tiempos específicos.

Para el calculo de velocidad usamos la siguiente expresión:

V = -g * t     (2)      g: 32.16 ft/s

Tomando en cuenta estas expresiones, veamos los valores de posición y velocidad:

a) Para t = 2 s

S = 64(2) - 8(2)²

S = 96 ft

V = -32.16 * 2

V = -64.32 ft/s

Para t = 3 s

S = 64(3) - 8(3)²

S = 120 ft

V = -32.16 * 3

V = -96.48 ft/s

b) Para saber la altura que alcanzará, usamos la expresión de altura máxima que es la siguiente:

Smáx = -V₀² / 2g   (3)

Para el valor de la velocidad inicial, podemos asumir el valor de la velocidad dada por la formula de la ley S, que es 64. Esto porque al ser multiplicado por el valor del tiempo, queda en unidades de distancia, asi que este valor debe tener unidades de velocidad. Reemplazando este valor en la expresión:

Smáx = -(64)² / 2 * 32.16

Smáx = 63.68 ft

c) Para esta parte, usamos nuevamente la formula de la ley S, usando t = 4 s y listo:

S = 64(4) - 8(16)

S = 128 ft

Espero te sirva

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