gaokao 2025 Q6

gaokao · China · national-I 5 marks Vectors Introduction & 2D Vector Word Problem / Physical Application
In sailing competitions, athletes can use an anemometer to measure wind speed and direction. The measured result is called apparent wind speed in nautical science. The vector corresponding to apparent wind speed is the sum of the vector corresponding to true wind speed and the vector corresponding to ship's wind speed, where the vector corresponding to ship's wind speed has the same magnitude as the vector corresponding to ship's velocity but opposite direction. Figure 1 shows the correspondence between part of the wind force levels, names, and wind speeds. An athlete measured the vector corresponding to apparent wind speed and the vector corresponding to ship's velocity as shown in Figure 2 (the magnitude of wind speed and the magnitude of the vector are the same, unit: $\mathrm{m/s}$). Then the true wind is
LevelWind Speed $\mathrm{m/s}$Name
2$1.1 \sim 3.3$Light Breeze
3$3.4 \sim 5.4$Gentle Breeze
4$5.5 \sim 7.9$Moderate Wind
5$8.0 \sim 10.1$Fresh Wind

A. Light Breeze
B. Gentle Breeze
C. Moderate Wind
D. Fresh Wind
In sailing competitions, athletes can use an anemometer to measure wind speed and direction. The measured result is called apparent wind speed in nautical science. The vector corresponding to apparent wind speed is the sum of the vector corresponding to true wind speed and the vector corresponding to ship's wind speed, where the vector corresponding to ship's wind speed has the same magnitude as the vector corresponding to ship's velocity but opposite direction. Figure 1 shows the correspondence between part of the wind force levels, names, and wind speeds. An athlete measured the vector corresponding to apparent wind speed and the vector corresponding to ship's velocity as shown in Figure 2 (the magnitude of wind speed and the magnitude of the vector are the same, unit: $\mathrm{m/s}$). Then the true wind is

\begin{center}
\begin{tabular}{ | c | c | c | }
\hline
Level & Wind Speed $\mathrm{m/s}$ & Name \\
\hline
2 & $1.1 \sim 3.3$ & Light Breeze \\
\hline
3 & $3.4 \sim 5.4$ & Gentle Breeze \\
\hline
4 & $5.5 \sim 7.9$ & Moderate Wind \\
\hline
5 & $8.0 \sim 10.1$ & Fresh Wind \\
\hline
\end{tabular}
\end{center}

A. Light Breeze\\
B. Gentle Breeze\\
C. Moderate Wind\\
D. Fresh Wind