The east component of the herd’s displacement is 294.6 m.
The south component of the herd’s displacement is 137.4 m.
Explanation:
Given that,
Displacement r= 325.0 m
Direction [tex]\theta = 25^o[/tex] south of east
According to the figure,
The horizontal component of the herd’s displacement
[tex]r_{h}=r cos\theta[/tex]
The vertical component of the herd’s displacement
[tex]r_{v}=r sin\theta[/tex]
We need to find the east component of the herd’s displacement
Using the horizontal component of the herd’s displacement
[tex]r_{h}=r cos\theta[/tex]
Put the value in the equation
[tex]r_{h}= 325\cos25^o[/tex]
[tex]r_{h}= 294.6 m[/tex]
We need to find the south component of the herd’s displacement
Using the vertical component of the herd’s displacement
[tex]r_{v}=r sin\theta[/tex]
Put the value in the equation
[tex]r_{v}=325\ sin25^o[/tex]
[tex]r_{v}=137.4 m[/tex]
Hence, the east component of the herd’s displacement is 294.6 m.
The south component of the herd’s displacement is 137.4 m.
Reference :
https://brainly.com/question/16302417
