math sl problem

[athina.pap]

Ok so the problem is as follows:

"A tractor is moving across a field at 10Km/h on a bearing of 150. Express its velocity vector."

Can anybody solve this? thank you in advance.

[CkyBlue]

Blind guess.

If you imagine the problem in Cartesian coordinates, the vector lies in the 4th quadrant because the bearing is 150. (bearing is relative to north). The magnitude is taken as 10, but you know the angle between that and the y axis, which is 30 degrees.

From here you can set up equations to find the x and y components: sin 30=x/10, and cos 30=y/10. Remember y should be negative if you visualize the vector.

I don't remember how to put them in vector form, I think you put them in brackets or place unit vectors after the components or something.