Question

What is the y component of a vector defined as 12.2m at 245^o

Answer 1

Given:

v = 12.2 m

Angle = 245 degrees

Let's find the y-component of the vector.

Let's first sketch a free body diagram representing the vector.

We have:

To find the y-component of the vector, apply the formula:

$d_y=dcos\theta$

Where:

θ = 25 degrees

d = -12.2 m

Thus, we have:

$\begin{gathered} d_y=-12.2cos25 \\ \\ d_y=-11.1\text{ m} \end{gathered}$

Therefore, the y-component of the vector is -11.1 m.