The problem states that $x$ km/h is equal to $y$ m/s. We need to find the expression for $y$ in terms of $x$. In other words, we need to convert km/h to m/s.

Applied MathematicsUnit ConversionDimensional AnalysisPhysics
2025/4/29

1. Problem Description

The problem states that xx km/h is equal to yy m/s. We need to find the expression for yy in terms of xx. In other words, we need to convert km/h to m/s.

2. Solution Steps

First, let's convert km to meters. We know that 1 km = 1000 m.
Next, let's convert hours to seconds. We know that 1 hour = 60 minutes, and 1 minute = 60 seconds. Therefore, 1 hour = 60 * 60 = 3600 seconds.
Now we have:
xkmh=x1000m3600sx \frac{km}{h} = x \frac{1000 m}{3600 s}
Simplifying the fraction:
x1000m3600s=x1036ms=x518msx \frac{1000 m}{3600 s} = x \frac{10}{36} \frac{m}{s} = x \frac{5}{18} \frac{m}{s}
Since xx km/h = yy m/s, we have:
y=518xy = \frac{5}{18} x

3. Final Answer

D. 518x\frac{5}{18}x

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