Can displacement be greater than, less than, or equal to total distance?

  • Thread starter jlyu002@ucr.e
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In summary, displacement can be greater than, less than, or equal to the total distance traveled. It is a vector quantity that represents the shortest distance and direction between the starting and ending points, while distance is a scalar quantity that represents the total length of the path traveled. Displacement can be negative when the starting and ending points are in opposite directions and the displacement is measured in the opposite direction.
  • #1
jlyu002@ucr.e
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In a hypothetical situation, including every type of hypothetical situations, can a displacement be greater than, less than, or equal to the total distance?
 
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jlyu002@ucr.e said:
In a hypothetical situation, including every type of hypothetical situations, can a displacement be greater than, less than, or equal to the total distance?
What do you think, and why ?
 
  • #3
I think it can be less than or equal to, but never greater than because displacement is always going to the net distance; in other words, the final distance subtracted from the initial distance.
 

1. Can displacement ever be greater than the total distance traveled?

Yes, displacement can be greater than the total distance traveled. Displacement is a vector quantity that represents the shortest distance and direction between the starting and ending points. It does not take into account the actual path taken to reach the ending point, so it can be greater than the actual distance traveled.

2. Is it possible for displacement to be less than the total distance traveled?

Yes, displacement can be less than the total distance traveled. This can occur when the starting and ending points are in opposite directions and the displacement is negative. In this case, the magnitude of the displacement will be less than the total distance traveled.

3. Can displacement ever be equal to the total distance traveled?

Yes, displacement can be equal to the total distance traveled. This can occur when the starting and ending points are in the same direction and the displacement is positive. In this case, the magnitude of the displacement will be equal to the total distance traveled.

4. How is displacement different from distance?

Displacement and distance are both measures of how far an object has moved, but they are calculated differently. Distance is a scalar quantity that represents the total length of the path traveled, while displacement is a vector quantity that represents the straight line distance and direction between the starting and ending points.

5. Can displacement be negative?

Yes, displacement can be negative. This occurs when the starting and ending points are in opposite directions and the displacement is measured in the opposite direction. In physics, negative displacement is often referred to as displacement in the "opposite direction".

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