## Task 1 - V10921

The Soviet pilot K. Kokkinaki set a new world record with the single-engine turbojet aircraft E 66. He flew $100 \mathrm{~km}$ in $170 \mathrm{~s}$.

a) What was his average speed in $\frac{\mathrm{km}}{\mathrm{h}}$?

b) What possible error is associated with this value if the distance measurement was accurate, but the time measurement was subject to an error of $\pm 0.5 \mathrm{~s}$?
a1) Conversion of $t: 170 s=\frac{170}{3600} \mathrm{~h}$

a2) Calculation of the average speed

$$
v=\frac{s}{t}=\frac{100 \cdot 3600}{170}=2117.6 \approx 2118
$$

The average speed was $2118 \mathrm{~km} \cdot \mathrm{h}^{-1}$.

b1) temporal deviation upwards: $v=\frac{100 \cdot 3600}{170.5}=2111.4 \approx 2111$.

b2) temporal deviation downwards: $v=\frac{100 \cdot 3600}{169.5}=2123.9 \approx 2124$. With a time measurement error of $\pm 0.5 \mathrm{~s}$, the value of the average speed is affected by an error of about $\pm 6 \mathrm{~km} \cdot \mathrm{h}^{-1}$.