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A vector is 14.4 m long andpoints in a 133 degreedirection.Find the y-component of thevector.

A vector is 14.4 m long andpoints in a 133 degreedirection.Find the y-component of-example-1

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If a vector v has a magnitude r and a direction given by an angle θ measured from the positive direction of the X axis, then the vertical component v_y of the vector is given by:


v_y=r\cdot\sin \theta

Substitute r=14.4m and θ=133°:


v_y=(14.4m)\cdot\sin (133^(\circ))=10.5m

Therefore, the value of the y-component of the vector (in meters) is:


10.5

User Gavriel Fishel
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