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A plane is flying at 250 km/h relative to the air, which is moving at 50 km/h ag

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Question: A plane is flying at 250 km/h relative to the air, which is moving at 50 km/h against the direction of the plane. What is the plane\'s speed relative to the ground?

Options:

  1. 200 km/h
  2. 250 km/h
  3. 300 km/h
  4. 50 km/h

Correct Answer: 200 km/h

Solution: 

The plane\'s speed relative to the ground is 250 km/h - 50 km/h = 200 km/h.

A plane is flying at 250 km/h relative to the air, which is moving at 50 km/h ag

Practice Questions

Q1
A plane is flying at 250 km/h relative to the air, which is moving at 50 km/h against the direction of the plane. What is the plane's speed relative to the ground?
  1. 200 km/h
  2. 250 km/h
  3. 300 km/h
  4. 50 km/h

Questions & Step-by-Step Solutions

A plane is flying at 250 km/h relative to the air, which is moving at 50 km/h against the direction of the plane. What is the plane's speed relative to the ground?
  • Step 1: Understand that the plane is flying at a speed of 250 km/h relative to the air.
  • Step 2: Recognize that the air is moving at 50 km/h in the opposite direction of the plane.
  • Step 3: To find the plane's speed relative to the ground, subtract the speed of the air from the speed of the plane.
  • Step 4: Perform the calculation: 250 km/h (plane's speed) - 50 km/h (air's speed) = 200 km/h.
  • Step 5: Conclude that the plane's speed relative to the ground is 200 km/h.
  • Relative Speed – Understanding how to calculate the speed of an object in relation to another moving object.
  • Vector Addition – Applying vector addition principles to determine the resultant speed when two velocities are in opposite directions.
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