A ship leaves port at noon and travels at a bearing of 214°. The ship’s average rate of speed is 15 miles per hour. Describe the location of the ship at 2:30 p.m. by writing a vector in component form. Then explain what these components mean in terms of the scenario.
The component form of the vector representing the ship at 2:30 p.m. is approximately 〈__,__〉. This means that the ship is about ____ miles to the ____ and about ____ miles to the ____ of where the ship left port.
+36916 in 2 1/2 hours the ship travels 2.5 x 15 = 37.5 miles
the x component is 37.5 cos 214o = -31 miles
the y component is 37.5 sin 214 = ~ - 21 miles
if 0o is north :
31 miles south and 21 miles west ( 214 degrees would be southwest )
