Edits to “Statement”, “Solution”

astrosander edited Dec 9, 2025, 2:01 PM

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revision #15873 parent #15773 ← older newer →

en/1.1.1.md +20 −1

		@@ -1,1 +1,20 @@
		−	@@Ixt9s
		+	### Statement
		+
		+	$1.1.1.$ Figure$^{*)}$ shows a "blurred photograph" of a jet airplane in flight. The length of the airplane is $30 \text{ m}$, the length of its nose is $10 \text{ m}$. Determine from this "photograph" the speed of the airplane. The shutter exposure time is $0.1 \text{ s}$. The shape of the airplane is shown in the figure with a dashed line.
		+	![ For the 1.1.1 problem \|507x327, 26%](../../img/1.1.1/statement.png)
		+
		+	#### Solution
		+
		+	![ 1.1.1. Airplane photo \|747x555, 51%](../../img/1.1.1/1.1.1.png)
		+
		+	To find the velocity of the airplane it is necessary to determine the vector of its displacement for the time $T$, during which the shutter of the camera is open. Let us select the initial point $1$ in the photograph and determine the distance it will move during the time $T$. The length of the airplane must be subtracted from the total length of the photograph. Taking into account the scale, the modulus of displacement will be
		+
		+	$$
		+	l=50-30 = 20 \text{ m}
		+	$$
		+
		+	For the $0.1 \text{ s}$ aiplane covered a distance of $20\text{ m}$, which corresponds to velocity of
		+
		+	$$
		+	\boxed{v = \frac{l}{T} = 200\text{ m/s}}
		+	$$

	@@ -1,1 +1,20 @@
	@@Ixt9s		### Statement

			$1.1.1.$ Figure$^{*)}$ shows a "blurred photograph" of a jet airplane in flight. The length of the airplane is $30 \text{ m}$, the length of its nose is $10 \text{ m}$. Determine from this "photograph" the speed of the airplane. The shutter exposure time is $0.1 \text{ s}$. The shape of the airplane is shown in the figure with a dashed line.
			![ For the 1.1.1 problem \|507x327, 26%](../../img/1.1.1/statement.png)

			#### Solution

			![ 1.1.1. Airplane photo \|747x555, 51%](../../img/1.1.1/1.1.1.png)

			To find the velocity of the airplane it is necessary to determine the vector of its displacement for the time $T$, during which the shutter of the camera is open. Let us select the initial point $1$ in the photograph and determine the distance it will move during the time $T$. The length of the airplane must be subtracted from the total length of the photograph. Taking into account the scale, the modulus of displacement will be

			$$
			l=50-30 = 20 \text{ m}
			$$

			For the $0.1 \text{ s}$ aiplane covered a distance of $20\text{ m}$, which corresponds to velocity of

			$$
			\boxed{v = \frac{l}{T} = 200\text{ m/s}}
			$$