Answer :

Answer:

To find the y-component of the vector \( \mathbf{V} \), you can use the following formula:

\[

V_y = V \sin(\theta)

\]

where:

- \( V \) is the magnitude of the vector.

- \( \theta \) is the angle the vector makes with the positive x-axis.

- \( V_y \) is the y-component of the vector.

Given:

- \( V = 55.1 \, \text{m} \)

- \( \theta = 76.1^\circ \)

Substitute these values into the formula:

\[

V_y = 55.1 \sin(76.1^\circ)

\]

Using a calculator to find the sine of \( 76.1^\circ \):

\[

\sin(76.1^\circ) \approx 0.9703

\]

Now, calculate \( V_y \):

\[

V_y = 55.1 \times 0.9703 \approx 53.4

\]

So, the y-component \( V_y \) is approximately \( 53.4 \, \text{m} \).