Question

What are the $x$- and $y$-components of the velocity vector shown in FIGURE EX3.19?

Short answer

$x$- component $=50m/s.$

$y$-component$=86.6m/s.$

Step-by-step solution

Step 1. Given information

The given figure is,

We need to determine the$xandy$components of the velocity shown in the figure.

Step 2. Solution

It is given that $\theta =30andv=100m/s.$

Thus $100\times \sin {30}^{\circ }.$

$=50$in the $x$direction,

and $100\times \cos {30}^{\circ }.$

$=86.6$in the $y$direction.

Hence, the $x$-component $=50m/s.$

$y$-component$=86.6m/s.$