Question

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?

Answer 1

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:

$v_y = v sin \theta$

where

v is the magnitude of the vector

$\theta$ 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

$d_y = d sin \theta$

where

d = 3 m is the magnitude of the displacement

$\theta=45^{\circ}$ is the angle between the  displacement and the horizontal

Substituting, we find

$d_y = (3)(sin 45^{\circ})=2.1 m$

Learn more about vector components:

brainly.com/question/2678571

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