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A plane is flying at 200 m/s in still air. If there is a headwind of 50 m/s, wha

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Question: A plane is flying at 200 m/s in still air. If there is a headwind of 50 m/s, what is the speed of the plane relative to the ground?

Options:

  1. 150 m/s
  2. 200 m/s
  3. 250 m/s
  4. 300 m/s

Correct Answer: 150 m/s

Solution:

Speed relative to ground = Speed of plane - Speed of wind = 200 m/s - 50 m/s = 150 m/s.

A plane is flying at 200 m/s in still air. If there is a headwind of 50 m/s, wha

Practice Questions

Q1
A plane is flying at 200 m/s in still air. If there is a headwind of 50 m/s, what is the speed of the plane relative to the ground?
  1. 150 m/s
  2. 200 m/s
  3. 250 m/s
  4. 300 m/s

Questions & Step-by-Step Solutions

A plane is flying at 200 m/s in still air. If there is a headwind of 50 m/s, what is the speed of the plane relative to the ground?
Correct Answer: 150 m/s
  • Step 1: Identify the speed of the plane in still air, which is 200 m/s.
  • Step 2: Identify the speed of the headwind, which is 50 m/s.
  • Step 3: Understand that a headwind slows the plane down relative to the ground.
  • Step 4: To find the speed of the plane relative to the ground, subtract the speed of the wind from the speed of the plane.
  • Step 5: Perform the calculation: 200 m/s (speed of plane) - 50 m/s (headwind) = 150 m/s.
  • Step 6: Conclude that the speed of the plane relative to the ground is 150 m/s.
  • Relative Speed – Understanding how to calculate the speed of an object in relation to another moving object, taking into account the direction of both.
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