contestada

Susie rides down and to the right on a slide for a total displacement of -3m at an angle of 45 degrees above the ground. What was Susie's vertical displacement in m?

Respuesta :

Susie's vertical displacement is 2.1 m

Explanation:

In order to solve this problem, we have to resolve the displacement vector along the vertical direction.

The vertical component of a vector is given by:

[tex]v_y = v sin \theta[/tex]

where

v is the magnitude of the vector

[tex]\theta[/tex] is the angle between the direction of the vector and the horizontal

Therefore, the vertical  component of the displacement in this problem is given by

[tex]d_y = d sin \theta[/tex]

where

d = 3 m is the magnitude of the displacement

[tex]\theta=45^{\circ}[/tex] is the angle between the  displacement and the horizontal

Substituting, we find

[tex]d_y = (3)(sin 45^{\circ})=2.1 m[/tex]

Learn more about vector components:

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Answer:

-2.1m

Explanation:

Answer for Khan Academy