Vector components: 1. (30'sqrt3)) m/s West, 30 m/s South
Explanation:
A vector can be resolved into its horizontal and vertical component by using trigonometry.
In particular, the horizontal component of a vector is given by
where
v is the magnitude of the vector
is its angle measured counterclockwise from the positive x-direction
And the vertical component is given by
In this problem, the magnitude of the vector is
And the angle is
Therefore, its components are:
And both the components are negative: this means that the vector lies in the 3rd quadrant, so the x-component is towards west, while the y-component is towards south. So the correct answer is
1. (30'sqrt3)) m/s West, 30 m/s South
Learn more about vector components:
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