Distance covered is given as follows
1). 7 km North
2). 5 km North
3). 1 km East
Now total distance covered will be given as
[tex]d = d_1 + d_2 + d_3[/tex]
[tex]d = 7 km + 5 km + 1 km[/tex]
[tex]d = 13 km[/tex]
Now in order to find the displacement we will show all with their directions
[tex]\vec d_1 = 7 + 5 = 12 km [/tex] towards North
[tex]\vec d_2 = 1 km[/tex] towards East
So total displacement is
[tex]\vec d = \vec d_1 + \vec d_2[/tex]
[tex]\vec d = 12 \hat j + 1 \hat i[/tex]
so net displacement will be
[tex]d = \sqrt{12^2 + 1^2} = 12.04 km[/tex]
so displacement is 12.04 km
