Calculating Hurricane Distance with Vectors

[Maddy315]

The eye of a hurricane passes over Grand Bahama Island in a direction 60.0 degrees north of west with a speed of 41.0km/h. Three hours later, the course of the hurricane suddenly shifts due north, and its speed slows to 25.0 km/h. How far from Grand Bahama is the hurricane 4.5 h after it passes over the island?

I know we're going over v=d/t but my teacher didn't have time to fully explain.
I'm completely confused and I'm not so sure that my picture came out right either. Help?

b]

 

[PeterO]

The eye of a hurricane passes over Grand Bahama Island in a direction 60.0 degrees north of west with a speed of 41.0km/h. Three hours later, the course of the hurricane suddenly shifts due north, and its speed slows to 25.0 km/h. How far from Grand Bahama is the hurricane 4.5 h after it passes over the island?

I know we're going over v=d/t but my teacher didn't have time to fully explain.
I'm completely confused and I'm not so sure that my picture came out right either. Help?

b]

SO what did you calculate, and at least describe your picture - [like the first arrow is like a clock hand pointing to 9:00, then one from there pointing at 6:00 but hopefully not either of those directions]

 

[Lobezno]

Like everything else in life, the best way to do it is through vectors.

And graphicall would be the best way to see it, so start by drawing a line going in the first direction, and then a line going in the second starting from the tip of the first.

The line between the tip of the second and the start will be your answer, graphically.