How to find the missing displacement (vectors)?

[marbille9]

Homework Statement

After three days of hiking, a group of hikers are 30km N from their starting position. On the first day, they hiked 20km E. On the second day, they hiked 30km 53 degrees N of W, calculate their displacement on the third day.

Homework Equations

I haven't a single clue

The Attempt at a Solution

 

[Infinitum]

Hi marbille9, welcome to PF.

Start by drawing the vector diagram out...The final displacement is the vectorial sum of their displacements on each day.

 

[marbille9]

30km N is the resultant vector. But I don't kow how to find the displacement on the third day.

 

[Infinitum]

30km N is the resultant vector. But I don't kow how to find the displacement on the third day.

Well, the displacements in the north-south direction don't effect the displacements in east-west direction. Sum the individual displacements in each direction (i.e NS, and WE) and equate the NS to 30, and the WE sum to 0...


PS : You need to show some more work, so that you can be helped better