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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
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?
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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?
150 m/s
200 m/s
250 m/s
300 m/s
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Speed relative to ground = Speed of plane - Speed of wind = 200 m/s - 50 m/s = 150 m/s.
Questions & Step-by-step Solutions
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Q
Q: 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?
Solution:
Speed relative to ground = Speed of plane - Speed of wind = 200 m/s - 50 m/s = 150 m/s.
Steps: 6
Show Steps
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.
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