4 questions about distance travelled and magnitude of displacement

In summary, the total distance traveled can equal the magnitude of the displacement if the object moves in a straight line. However, it is possible for the total distance to exceed the magnitude of the displacement if the object changes direction. The magnitude of the displacement cannot exceed the total distance traveled. The average speed can never equal the magnitude of the average velocity.
  • #1
Kelan
1
0

Homework Statement


1. is it possible for the total distance traveled to equal the magnitude of the displacement? if "no" why not? if "yes" give an example

2. is it possible for the total distance traveled to exceed the magnitude of the displacement? if "no" why not? if "yes" give an example

3.is it possible for the magnitude of the displacement to exceed the total distance travelled? if "no" why not? if "yes" give an example

4. can the average speed ever equal the magnitude of the average velocity? if "no" why not? if "yes" give an example

Thanks in advance, Kelan

Homework Equations





The Attempt at a Solution



ok so i know that the magnitude can not be greater then the distance traveled but i do not know why i need it explained to me i only know this because the teacher told us
 
Last edited:
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  • #2
You need to make an attempt at answering.
 
  • #3
Are you not going to have a go yourself first?
 
  • #4
try thinking about the difference between displacement and distance and come up with scenario's that will help you answer the question.
 
  • #5
1. If you travel in a straight line...then yes. Both can be the same.

2. Yes, go north 20, go south 30. Your displacement is 10 and your distance is 50.

you can do the rest.
 

Related to 4 questions about distance travelled and magnitude of displacement

1. What is the difference between distance travelled and magnitude of displacement?

The distance travelled is the total length of the path taken by an object, while the magnitude of displacement is the shortest distance between the initial and final positions of the object. In other words, distance travelled takes into account the entire path, while magnitude of displacement only considers the starting and ending points.

2. How do you calculate distance travelled and magnitude of displacement?

Distance travelled can be calculated by adding up all the individual distances traveled in each segment of the path. Magnitude of displacement can be calculated using the Pythagorean theorem, where the square root of the sum of the squares of the horizontal and vertical displacements gives the magnitude of displacement.

3. Can distance travelled be greater than magnitude of displacement?

Yes, distance travelled can be greater than magnitude of displacement. This is because distance travelled takes into account the entire path, while magnitude of displacement only considers the shortest distance between the starting and ending points.

4. Can magnitude of displacement be negative?

Yes, magnitude of displacement can be negative. This means that the initial position of the object is further away from the reference point than the final position. It does not necessarily indicate that the object is moving backwards, but rather that the displacement is in the opposite direction from the reference point.

5. How does direction affect magnitude of displacement?

Direction does not affect the magnitude of displacement, as it is simply the length of the shortest path between the initial and final positions. However, direction does play a role in the displacement vector, which includes both the magnitude of displacement and the direction in which it occurs.

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