Tyler Zimmerman
04/09/2023 · Elementary School
expresión \( t=\frac{1}{4} d^{\frac{1}{2}} \), donde \( t \) se mide en segundos \( y \) \( d \) se mide en pies. Halla el tiempo que tardará un objeto en caer 100 pies.
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Step-by-step Solution
Para encontrar el tiempo \( t \) que tardará un objeto en caer 100 pies, utilizamos la expresión dada:
\[
t = \frac{1}{4} d^{\frac{1}{2}}
\]
Sustituyendo \( d = 100 \) pies en la fórmula:
\[
t = \frac{1}{4} (100)^{\frac{1}{2}}
\]
Calculamos \( (100)^{\frac{1}{2}} \):
\[
(100)^{\frac{1}{2}} = 10
\]
Ahora sustituimos este valor en la expresión para \( t \):
\[
t = \frac{1}{4} \cdot 10
\]
Calculamos el resultado:
\[
t = \frac{10}{4} = 2.5
\]
Por lo tanto, el tiempo que tardará un objeto en caer 100 pies es:
\[
\boxed{2.5} \text{ segundos}
\]
Quick Answer
El tiempo que tardará un objeto en caer 100 pies es 2.5 segundos.
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