Question

An airplane starting from airport A flies 300 km east, then 350 km at 30.0° west of north, and then 150
km north to arrive finally at airport B. (a) The next day, another plane flies directly from A to B in a
straight line. In what direction should the pilot travel in this direct flight? (b) How far will the pilot travel
in this direct flight? Assume there is no wind during these flights.

Answer 1

Hey there! @Ahmad234

Answer 2

Let's draw out the situation they gave us

We have airport A and a plane leaves it and

flies 300 km east
then 350 km at 30.0° west of north
and then 150 km north

and reaches airport B

Answer 3

So on a compass, east is to the right- so our first vector would look like this

Answer 4

Now we're going 350 km at 30° west from north

This one sounds a little tricky, how do you form the angle 30? But remember north is pointing upwards and so we're traveling 30 degrees west from that so it'll be 30 degrees to the left

like this

Answer 5

and then the third leg of the journey was 150 km north so

Answer 6

so to answer the first part of your question, which direction will the pilot need to go if he wants to go from A to B in a straight line?
(remember, A was at the origin)

Answer 7

for the second part, we need to find the length of the resultant vector

let's call
A = 300 km east
B = 350 km at 30.0° west of north
C = 150 km north

so the resultant vector would be A + B + C

but to first add them up, let's write the vectors in their component forms i.e. breaking it into the x and y components

I see that you're now finally replying so I'll wait until we finish the first part :)

Answer 8

Bx=-350COS(30)
By=350SIN(30)
that is right

Answer 9

because lie in 2 Quadrant

Answer 10

sin and cos should be switched

Answer 11

I can't understand

Answer 12

the x-component would be -350 SIN (30)
and for the y-component it would be cos

does that make sense?

Answer 13

thanks

Answer 14

1 more numerical, can you solve it

Answer 15

similarly, A only has an x-component

and C only has a y-component

We have to add Ax + Bx + Cx
(Cx is just 0)

and we have to add Ay + By + Cy
(Ay is just 0)

Answer 16

\(\color{#0cbb34}{\text{Originally Posted by}}\) @Ahmad234
1 more numerical, can you solve it
\(\color{#0cbb34}{\text{End of Quote}}\)

which numerical?

Answer 17

do you mean converting from x and y components to find the magnitude?

Answer 18

can you send me whatsapp number for physic information

Answer 19

Are you asking a new question? question 8?

Answer 20

\(\color{#0cbb34}{\text{Originally Posted by}}\) @AZ
Are you asking a new question? question 8?
\(\color{#0cbb34}{\text{End of Quote}}\)
it might be question 8

Answer 21

1 min wait

Answer 22

\(\color{#0cbb34}{\text{Originally Posted by}}\) @AZ
similarly, A only has an x-component

and C only has a y-component

We have to add Ax + Bx + Cx
(Cx is just 0)

and we have to add Ay + By + Cy
(Ay is just 0)
\(\color{#0cbb34}{\text{End of Quote}}\)
great job like always - congrats !

Answer 23

Ask it in a new question

Answer 24

screenshot can't not upload in new question

Answer 25

You can type "Physics Question" and create it and then post the screenshot as a reply