A person travels 20m East , 8m north and finally 8√2 North-West . Find the displacement of the person . And draw the imaginary diagram
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Please us the image as a reference to the numerical work . Thank You . Let me know if I am wrong here
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Explanation:
Towards north is XN=8m and towards east is XE=20mNow the 8√2m towards North-west can be rewritten as 8×√2
(
1
√
2
N
o
r
t
h
+
1
√
2
W
e
s
t
)
=
8
m
N
o
r
t
h
+
8
m
W
e
s
t
so the net displacement in east will be
X
E
−
8
m
=
12
m
so the net displacement in North will be
X
N
+
8
m
=
16
m
now we have to calculate its
v
e
c
t
o
r
sum as
N
o
r
t
h
and
E
A
S
T
are
p
e
r
p
e
n
d
i
c
ular to each other so net displacement will be d=√122+162=20m
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