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You are running at a constant speed of 10 m/s.  From this you can conclude that one of the following statements is definitely wrong.   Find which one.Your Average Velocity magnitude is 10 m/s.Your Average Velocity magnitude is 8 m/s.Your Average Velocity magnitude is 12 m/s.Your Average Velocity is 0 m/s.

Question

You are running at a constant speed of 10 m/s.  From this you can conclude that one of the following statements is definitely wrong.   Find which one.Your Average Velocity magnitude is 10 m/s.Your Average Velocity magnitude is 8 m/s.Your Average Velocity magnitude is 12 m/s.Your Average Velocity is 0 m/s.

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Solution

The statement that is definitely wrong is "Your Average Velocity magnitude is 12 m/s."

Here's why:

  1. "Your Average Velocity magnitude is 10 m/s." This could be true because if you're running at a constant speed of 10 m/s, your average velocity (which is total displacement divided by total time) could also be 10 m/s, assuming you're running in a straight line in one direction.

  2. "Your Average Velocity magnitude is 8 m/s." This could be true if you're running in a zigzag pattern or in circles, for example. In such cases, your total displacement could be less than your total distance traveled, resulting in a lower average velocity.

  3. "Your Average Velocity magnitude is 12 m/s." This is definitely wrong because your average velocity cannot be greater than your constant speed.

  4. "Your Average Velocity is 0 m/s." This could be true if you're running back and forth along the same path, ending up at your starting point. In such a case, your total displacement would be zero, so your average velocity would also be zero.

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