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Sagot :
Claro, vamos a convertir las siguientes velocidades de kilómetros por hora (km/h) a metros por segundo (m/s).
Para convertir una velocidad de km/h a m/s, podemos utilizar el hecho de que [tex]\(1 \frac{km}{h} = \frac{1000 \, m}{3600 \, s} = \frac{5}{18} \frac{m}{s}\)[/tex]. En otras palabras, multiplicamos la velocidad en km/h por [tex]\(\frac{5}{18}\)[/tex] para obtener la velocidad en m/s.
a. Convertir [tex]\(72 \, \frac{km}{h}\)[/tex] a [tex]\(m/s\)[/tex]:
[tex]\[ 72 \, \frac{km}{h} \times \frac{5}{18} = 72 \times \frac{5}{18} = 72 \div 18 \times 5 = 4 \times 5 = 20 \, \frac{m}{s} \][/tex]
b. Convertir [tex]\(108 \, \frac{km}{h}\)[/tex] a [tex]\(m/s\)[/tex]:
[tex]\[ 108 \, \frac{km}{h} \times \frac{5}{18} = 108 \times \frac{5}{18} = 108 \div 18 \times 5 = 6 \times 5 = 30 \, \frac{m}{s} \][/tex]
Así que las velocidades convertidas son:
a. [tex]\(72 \, \frac{km}{h} = 20 \, \frac{m}{s}\)[/tex]
b. [tex]\(108 \, \frac{km}{h} = 30 \, \frac{m}{s}\)[/tex]
Para convertir una velocidad de km/h a m/s, podemos utilizar el hecho de que [tex]\(1 \frac{km}{h} = \frac{1000 \, m}{3600 \, s} = \frac{5}{18} \frac{m}{s}\)[/tex]. En otras palabras, multiplicamos la velocidad en km/h por [tex]\(\frac{5}{18}\)[/tex] para obtener la velocidad en m/s.
a. Convertir [tex]\(72 \, \frac{km}{h}\)[/tex] a [tex]\(m/s\)[/tex]:
[tex]\[ 72 \, \frac{km}{h} \times \frac{5}{18} = 72 \times \frac{5}{18} = 72 \div 18 \times 5 = 4 \times 5 = 20 \, \frac{m}{s} \][/tex]
b. Convertir [tex]\(108 \, \frac{km}{h}\)[/tex] a [tex]\(m/s\)[/tex]:
[tex]\[ 108 \, \frac{km}{h} \times \frac{5}{18} = 108 \times \frac{5}{18} = 108 \div 18 \times 5 = 6 \times 5 = 30 \, \frac{m}{s} \][/tex]
Así que las velocidades convertidas son:
a. [tex]\(72 \, \frac{km}{h} = 20 \, \frac{m}{s}\)[/tex]
b. [tex]\(108 \, \frac{km}{h} = 30 \, \frac{m}{s}\)[/tex]
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