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Answer :
When a plane is landing, the speed relative to the ground, or landing speed, can be affected by the wind. In this case, we have a scenario with a headwind. A headwind is when the wind is blowing against the direction the plane is moving, slowing it down relative to the ground.
Let's break down the problem:
1. Initial speed of the plane: The plane's initial speed is given as [tex]\(170 \, \text{km/h}\)[/tex].
2. Headwind speed: The headwind speed is also given as [tex]\(170 \, \text{km/h}\)[/tex].
3. Effective landing speed: To find the effective landing speed of the plane, which is how fast it is moving relative to the ground, we subtract the speed of the headwind from the plane's speed. This is because the headwind is moving in the opposite direction to the plane's travel, reducing its speed relative to the ground.
[tex]\[
\text{Landing speed} = \text{Plane speed} - \text{Headwind speed}
\][/tex]
[tex]\[
\text{Landing speed} = 170 \, \text{km/h} - 170 \, \text{km/h} = 0 \, \text{km/h}
\][/tex]
This means that the plane's landing speed, relative to the ground, is [tex]\(0 \, \text{km/h}\)[/tex]. The wind effectively cancels out the plane's speed, making its speed relative to the ground zero at the moment of landing.
Let's break down the problem:
1. Initial speed of the plane: The plane's initial speed is given as [tex]\(170 \, \text{km/h}\)[/tex].
2. Headwind speed: The headwind speed is also given as [tex]\(170 \, \text{km/h}\)[/tex].
3. Effective landing speed: To find the effective landing speed of the plane, which is how fast it is moving relative to the ground, we subtract the speed of the headwind from the plane's speed. This is because the headwind is moving in the opposite direction to the plane's travel, reducing its speed relative to the ground.
[tex]\[
\text{Landing speed} = \text{Plane speed} - \text{Headwind speed}
\][/tex]
[tex]\[
\text{Landing speed} = 170 \, \text{km/h} - 170 \, \text{km/h} = 0 \, \text{km/h}
\][/tex]
This means that the plane's landing speed, relative to the ground, is [tex]\(0 \, \text{km/h}\)[/tex]. The wind effectively cancels out the plane's speed, making its speed relative to the ground zero at the moment of landing.
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