The vertical component is B) 7.9 m/s
Explanation:
A vector can be resolved into its horizontal and vertical components. The horizontal and the vertical components form the sides of a right triangle, in which the resultant corresponds to the hypothenuse, so we can use Pythagorean's theorem:
[tex]R=\sqrt{R_x^2+R_y^2}[/tex]
where
R is the resultant vector
Rx is the horizontal component
Ry is the vertical component
In this problem, we have:
R = 12 m/s is the resultant vector
Rx = 9 m/s is the horizontal component
Solving the formula for Ry, we find the vertical component:
[tex]R_y = \sqrt{R^2-R_x^2}=\sqrt{12^2-9^2}=7.9 m/s[/tex]
Learn more about vector components:
brainly.com/question/2678571
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