150 steps
Explanation
to find the final position, we need to add the vectors of displacement
Step 1
Diagram:
Step 2
now, we need to add the vectors
a)let the vectors
U= vector from the start point to the place where he turns around
v= vector from point B to end point
[tex]\begin{gathered} U=\langle0i+250j\rangle \\ v=\langle0i-400j) \end{gathered}[/tex]so, to find the final position we need to add the vectors, component to component
so
[tex]\begin{gathered} U+v=(0i+0i,250j-400j) \\ U+v=\langle0,-150\rangle \end{gathered}[/tex]so, the final position is -150, the negative sign indicates the direction (south) and the magnitud indicates the distance
so, you are 150 steps from your starting point
I hope this helps you
