Answer :
The plane's speed with respect to the observer 20 seconds after passing overhead will still be approximately 200 m/s
The plane, flying 3000 m overhead horizontally at a speed of 200 m/s, is observed 20 seconds after passing overhead. To find how fast the plane is moving with respect to the observer at that moment, we can use the concept of relative velocity. The plane's speed with respect to the observer will be the difference between the plane's speed and the observer's speed.
The plane's speed with respect to the observer is determined by the relative velocity between the two. Since the plane is flying overhead horizontally, the vertical component of its velocity is irrelevant to the observer on the ground.
Considering only the horizontal motion, the plane's speed is given as 200 m/s. However, the observer on the ground is also moving due to the Earth's rotation, and their speed can be considered negligible compared to the plane's speed.
Therefore, the plane's speed with respect to the observer 20 seconds after passing overhead will still be approximately 200 m/s. The observer's speed does not significantly affect the relative velocity between the plane and the observer. Hence, the plane's speed remains the same with respect to the observer, and it is still moving at approximately 200 m/s.
Learn more about relative velocity here:
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