a aeroplane flies 400m from north and then flies 300m west and then flies 1200 m vertically upwards. find the net displacement. From the initial point
Answers
From mathematics (taking 1m north as +1i, 1m south would be -1i and taking upwards 1m as +1j, downwards would be -1j),
Airplane moved 400i, then (-300i) and 1200j.
So, net displacement(D)=400i+(−300i)+1200j=100i+1200j
400
i
+
(
−
300
i
)
+
1200
j
=
100
i
+
1200
j
now, magnitude if displacement= sqrt(1002+12002)=1204.16m
s
q
r
t
(
100
2
+
1200
2
)
=
1204.16
m
But, if you think it in practical point of view, it depends upon the position of airplane, as explained by Glen Tarr
First we will concentrate on the first triangle who's one side is 300 and the other side is 400. We will calculate the other side by Pythagoras theorum. The answer is 500. We will notice another triangle with one side 500 and 1200 and the other side can be calculated by Pythagoras. The answer will be 1690000 unit
Hope it helps