4 questions about distance travelled and magnitude of displacement

[Kelan]

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

 

[_Mayday_]

You need to make an attempt at answering.

 

[lavalamp]

Are you not going to have a go yourself first?

 

[princesspriya]

try thinking about the difference between displacement and distance and come up with scenario's that will help you answer the question.

 

[Ultimeaciax]

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.