Question

You have recently been promoted and are now a senior pilot with BHS Exprress, providing courteous and timely service to countless cities across the Northeast. In order to arrive in New York City at the scheduled time, you know you must fly at a speed of 380mph on a course of 160 degrees. You check the weather conditions and find that the wind is blowing at 42 mph from 35 degrees East of North. Find the following information: Eastern Component of the Air velocity, southern component of the air velocity, air speed, heading.

Answer 1

convert these headings and speeds to vectors. You want v such that

u+v = w

then just solve for the x- and y- components of v.

Answer 2

could you please elaborate? How to
I put it in u v and w?

Answer 3

the desired velocity is
w = 380mph on a course of 160° = <130,-357>
The wind is
v = 42 mph from 35° = <-34,-24>

and you want
u+v=w
u+<-34,-24>=<130,-357>
so, clearly
v = <164,-333>

Now convert that to speed and heading.

Answer 4

okay I got different answers. Dont you need to do <42cos35, 42in35> and <380cos160,380sin160>? also, how am I supposed to convert that to speed and heading? Arent the answers the eastern and southern components?

Answer 5

okay I realized what I did wrong on that part, but I still don't know how to convert it to speed and heading

Answer 6

wait, I have those answers but -333 as my x and 164 as my y