Question

A vector is 253 m long andpoints in a 55.8 degreedirection.Find the y-component of thevector.

Answer 1

The components of the vector v are given as:

`\begin{gathered} v_x=v\cos \theta \\ v_y=v\sin \theta \end{gathered}`

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:

`\begin{gathered} v_y=253\sin 55.8 \\ v_y=209.25 \end{gathered}`

Therefore the y component is 209.25 meters.