Question

What are the components of vector A if it’s magnitude is 70 m/sand makes an angle of 51.7 degrees with the +x- axis?

Answer 1

Any vector can be written as components along positive X and positive Y axes.

So vector A can be written as $Acos(\theta)i+Asin(\theta)j$, where $\theta$ is the angle between vector A and positive X axis

So vector A = $70*cos(51.7)i+70*sin(51.7)j=43.38i+54.93j$

So components of vector B along X -axis =43.38 m/s

                                              along Y-axis = 54.93 m/s