# Homework Help: Displacement problem

1. Jun 27, 2015

### takando12

1. The problem statement, all variables and given/known data
A man starts from "O" moves 500m , turns by 60° and moves 500m again again turns by 60° and moves 500m and so on. Find the displacement after 1) 5th turn 2) 3rd turn (assume each turn is clockwise from the man's point of view.

2. Relevant equations

3. The attempt at a solution
I tried drawing a diagram and I think it looks like an equilateral triangle with the man going through the same path after every 3rd turn. And so after some counting I concluded that the answers are 1) 500m and 2) 0m . But the correct answers are 500 and 1000 m respectively. Is my method wrong? How do i solve this?

2. Jun 27, 2015

### SammyS

Staff Emeritus
I think you're turning by 120° .

3. Jun 28, 2015

### takando12

oh. I took the angle with respect to the backward path. Stupid mistake. Anyway does it turn out to be a hexagon now? I am able to get the right answers.
Thanks a lot sir.

4. Jun 28, 2015

### SammyS

Staff Emeritus
Yes, a hexagon.