6. (15 points) The radar received the signal reflected from the target after 6 microseconds. Determine the distance to the target, given that the speed of the radar signal is $300000 \mathrm{k} \nu / \mathrm{c}$. Note that one microsecond is one millionth of a second.
Answer: 900 m

Solution. In 6 microseconds, the signal travels the distance from the radar to the target and back. Therefore, the distance to the target is:

$$
S=v \frac{t}{2}=3 \cdot 10^{8} \cdot \frac{6 \cdot 10^{-6}}{2}=900 \mathrm{m}
$$