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3 years ago

5

En un parque de atracciones hay una montaña rusa donde los primeros 140 metros son en línea recta, si desde que el carrito esta

en reposo hasta que llega a los 140 metros se le aplica una aceleración constante de 7.5 m/s, calcular el tiempo...

1 answer:

zubka84 [21]3 years ago

7 0

Answer:

Tiempo, t = 6.11 segundos.

Explanation:

Dados los siguientes datos;

Distancia = 140 m

Aceleración = 7,5 m/s²

Dado que el objeto partió del reposo, su velocidad inicial es igual a 0 m/s.

Para encontrar el tiempo, usaríamos la segunda ecuación de movimiento;

S = ut + ½at²

Dónde;

S representa el desplazamiento o la altura medida en metros.

u representa la velocidad inicial medida en metros por segundo.

t representa el tiempo medido en segundos.

a representa la aceleración medida en metros por segundo cuadrado.

Sustituyendo en la ecuación, tenemos;

140 = 0*t + ½*7.5*t²

140 = 0 + 3.75t²

140 = 3.75t²

Dividiendo ambos lados por 3,75, tenemos;

t² = 140/3.75

t = √37.33

Tiempo, t = 6.11 segundos

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