RafayU733787 RafayU733787
  • 30-10-2022
  • Physics
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A vector is 253 m long andpoints in a 55.8 degreedirection.Find the y-component of thevector.

A vector is 253 m long andpoints in a 558 degreedirectionFind the ycomponent of thevector class=

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MischaA15556 MischaA15556
  • 30-10-2022

The components of the vector v are given as:

[tex]\begin{gathered} v_x=v\cos \theta \\ v_y=v\sin \theta \end{gathered}[/tex]

where v is the magnitude of the vector and theta is the angle.

In this case we have v=253 and theta=55.8°, plugging this values into the y component we have:

[tex]\begin{gathered} v_y=253\sin 55.8 \\ v_y=209.25 \end{gathered}[/tex]

Therefore the y component is 209.25 meters.

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