Question

an airplane is flying on a bearing 23 degrees east of north at 650 mph. express the velocity of the airplane as a vector

Answer 1

90-23 is the angle from the x axis

so speed (cos(90-23),sin(90-23))

Answer 2

@amistre64 and then do i find the magnitude of that as my answer?

Answer 3

they give yo the speed (magnitude) already ... 650

a vector is defined as speed and direction

the speed is given, the direction is the X,Y parts made form the cos and sin parts

Answer 4

@amistre64 ok but then how is that different from the velocity? I just dont get how to combine them to find the velocity

Answer 5

velocity is a vector .... you are most likely assuming speed and velocity are the same thing ....

Answer 6

speed is how fast

velocity is how fast and in which direction

Answer 7

if you are tracking an object; you use velocity: 30 mph to the north, 5 mps to the left

Answer 8

just stating how fast something is moving tells you nothing about where it is headed ....

Answer 9

the speed of the train was: k
but where does the train end up? san fransisco or delaware?

the velocity of the train was: k(cosa, sina)

Answer 10

ok so for this problem it would be set up like 650 (cos 67, sin 67) but then what do you do to solve it?

Answer 11

that is the solution .... if need be you can approximate the trig values; but thats up to whoever is grading it

Answer 12

oh ok! thank you for your help!!

Answer 13

youre welcome