New solution

astrosander edited Apr 15, 2025, 5:23 AM

View solution History

revision #14274 parent #13074 ← older newer →

en/14.1.1.md +32 −0

		@@ -0,0 +1,32 @@
		+	### Statement
		+
		+	$14.1.1.$ [Insert the problem statement]
		+
		+	### Solution
		+
		+	### Problem
		+
		+	$14.1.1.$ A radio signal reflected from an airplane returned to the radar after \(10^{-4}\) seconds. How far was the airplane from the radar at the moment the signal was reflected?
		+
		+	### Solution
		+
		+	If the airplane is at a distance \(l\) from the radar, the radio signal travels this distance twice – first from the radar to the airplane, and then back. The speed of the radio signal is equal to the speed of light.
		+
		+	\[
		+	2l = c \cdot t
		+	\]
		+
		+	\[
		+	l = \frac{c \cdot t}{2}
		+	\]
		+
		+	Substituting the values, we get:
		+	\(l = 15\) km.
		+
		+	#### Answer
		+
		+	\(l = 15\) km.
		+
		+	#### Answer
		+
		+	[Insert a concise answer or boxed result]

	@@ -0,0 +1,32 @@
			### Statement

			$14.1.1.$ [Insert the problem statement]

			### Solution

			### Problem

			$14.1.1.$ A radio signal reflected from an airplane returned to the radar after \(10^{-4}\) seconds. How far was the airplane from the radar at the moment the signal was reflected?

			### Solution

			If the airplane is at a distance \(l\) from the radar, the radio signal travels this distance twice – first from the radar to the airplane, and then back. The speed of the radio signal is equal to the speed of light.

			\[
			2l = c \cdot t
			\]

			\[
			l = \frac{c \cdot t}{2}
			\]

			Substituting the values, we get:
			\(l = 15\) km.

			#### Answer

			\(l = 15\) km.

			#### Answer

			[Insert a concise answer or boxed result]