1. nath

2. Hunus

Just add the components of all of the vectors to find the resultant displacement. First he moves 2.6 km north, then he moves 4 km east then he moves 3.1 km north east.

3. PeterAntimatter

4. Hunus

The first displacement he moves 2.6 km but he has no horizontal displacement. The second displacement he moves 4 km which is all horizontal. The third displacement he moves 3.1 km which is only part horizontal (You should be able to figure out the horizontal component from the last post)

5. nath

x=5.7 cos(45) i added the 2.6 to 3.1

6. Hunus

Not quite. For the x component 2.6 wouldn't be a part of it because none of it is in the x direction

7. nath

you mean that 3.1 is not completely horiziontal

8. Hunus

Yes. Also, the component that is 2.6 km is all in the y direction so none of it will be on the x component

9. nath

so what do i have to do

10. Hunus

|dw:1329698312156:dw|

11. Hunus

How far did the truck travel along the x axis?

12. nath

4

13. Hunus

What about the 3.1 km he traveled north east? Part of that displacement is along the x axis.

14. nath

i know to find the x component it would be 3.1 cos(45)

15. Hunus

That's correct :) and that plus the 4 km is how far he moved along the x axis

16. nath

so i could add the 2.6 to the 3.1 because the 2.6 is completely horizontal while the 3.1 is partially horizontal. however i have to take it into account

17. nath

i mean i couldnt*

18. Hunus

The 2.6 is completely vertical. The 4.0 is completely horizontal

19. nath

yah

20. Hunus

So add up the horizontal parts :)

21. Hunus

I'm about to have to head out :/ sorry I couldn't help you finish the problem. Just add up all the x components of all the vectors and all the y components of the vectors and this will create a new vector with the x component you just calculated and the y component you just calculated.

22. nath

okay thank u so much