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.
Solution
The statement that is definitely wrong is "Your Average Velocity magnitude is 12 m/s."
Here's why:
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"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.
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"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.
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"Your Average Velocity magnitude is 12 m/s." This is definitely wrong because your average velocity cannot be greater than your constant speed.
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"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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