The characteristic of the displacement is a vector allows to find the results for the components of the displacement are;
- It moves to the south distance is: y = 177.8 m
- It moved to the east distance is: x = 253.9 m
The displacement is a vector quantity, therefore it has modulus and direction, see attached for a diagram.
The reference system the West - East axis coincides with the x axis and the South - North axis with the y axis.
Let's use trigonometry to find its components.
cos 55 = [tex]\frac{y}{d}[/tex]
sin 55 = [tex]\frac{x}{d}[/tex]
y = d cos 55
x = d sin 55
let's calculate
y = 310 cos 55
x = 310 sin 55
y = 177.8 m
x = 253.9 m
In conclusion using the characteristics of the displacement is a vector we can find the components of the displacement are;
- It moves to the south distance is y = 177.8 m
- It moved to the east distance is x = 253.9 m
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