Tachometer speed error

The tachometer with a relative measurement error of 5% showed a speed of 49 km/h when crossing municipalities.
Did the car driver exceed the permitted speed of 50 km/h?

Final Answer:

v₂ =  51.45 km/h

Step-by-step explanation:

$$\begin{gathered} v_1=49\text{km/h} \\ q=100\%+5\%=1+\frac{5}{100}=1.05 \\ {v}_2=v_1\cdot q=49\cdot 1.05=\frac{1029}{20}=51.45 \\ {v}_2=v_2>50km/h=51.45\text{km/h} \end{gathered}$$

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