Draw each of the following vectors. Then find its x- and y-components. (b) = v = (440 m/s, 30 degrees below the positive x-axis)

Video transcript

Welcome back, everyone. We are tasked with sketching the velocity vector for the GI following given scenario, I'm gonna draw out our positive X and Y axes here. So positive X and positive Y we are told that with a speed of 15 m per second in a direction 20 degrees east of the positive Y axis, there is a bicyclist who is cycling on their bicycle. So we are told once again that the magnitude of the vector is 15 m per 2nd, 20 degrees east of the positive Y axis. So this is what our vector is going to look like. But we need to find both the X and our Y components of our vector here. Let's go ahead and start with the X direction here. We can say that the X divided by the magnitude of our vector is equal to the sign of our angle here. Now, what we can do is we can multiply both sides by 15. And what we get is that on the left side, it the fifteens cancel out. And if we just plug the right hand side of our equation into our calculator, we get 5.13 m per second right now, moving on to the Y component here we have that V Y divided by 15 is equal to the cosine of our angle. Similarly, we are going to multiply both sides of our equation by and plugging in the right hand side of our equation, what we get is 14.1 m per second. So we found both V X and V Y which corresponds to our answer. choice of a. Thank you all so much for watching. I hope this video helped. We will see you all in the next one.