This question involves the concept of the resolution of a vector into its rectangular components.
The horizontal component of velocity is "1.4 m/s", and the vertical component of the velocity is "7.9 m/s".
In order to find the horizontal and vertical components of the velocity of Esther, we must resolve the velocity vector into its rectangular components. Hence, the following formulae will be used:
[tex]Horizontal\ Component = v_x = v\ Cos\theta\\v_x = (8\ m/s)(Cos\ 80^o)\\v_x = 1.4\ m/s[/tex]
[tex]Vertical\ Component = v_y = v\ Sin\theta\\v_y = (8\ m/s)(Sin\ 80^o)\\v_y = 7.9\ m/s[/tex]
Learn more about the resolution of a vector here:
https://brainly.com/question/11234810?referrer=searchResults
The attached picture shows the resolution of a vector.
