Question

Find the y-component of this vector:

Answer 1

Answer:

The y-component of the vector is approximately -67.844 meters.

Step-by-step explanation:

A vector $\vec v$ in rectangular form are defined by the following form:

$\vec v = (r\cdot \cos \theta, r\cdot \sin \theta)$ (1)

Where:

$r$ - Magnitude, measured in meters.

$\theta$ - Direction with respect to +x semiaxis, measured in sexagesimal degrees.

Please notice that the y-component of the vector corresponds to the second component of the definition. If we know that $r = 101\,m$ and $\theta = 222.2^{\circ}$, then the y-component of the vector is:

$y = r\cdot \sin \theta$ (2)

$y = (101\,m)\cdot \sin 222.2^{\circ}$

$y \approx -67.844\,m$

The y-component of the vector is approximately -67.844 meters.