Question

A plane is headed N70E at an airspeed of 1000kph. From the ground it is determined that the resultant velocity of the place is 1010kph in the direction of N65E. Use Cartesian vectors to find the velocity of the wind.

Answer 1

N70E - does that mean 70º north of east?

Answer 2

no its 70 east of north

Answer 3

v_r = relative to ground
v_a = actual
the line that completes the triangle is velocity of wind

Answer 4

ok

Answer 5

what do i do from here?

Answer 6

by triangle law of vector addition, we have v_r=v_a+v_w
do for x and y components independently

Answer 7

i mean, v_a=v_r+v_w
which gives us: v_w = v_a-v_r
v_ax = 1010*cos(90-65), v_ay=1010*sin(90-65)
v_rx = 1000*cos(90-70), v_ry = 1000*sin(90-70)

v_wx = -65
v_wy = 162.98

Answer 8

my bad..
v_wx= -24.32
v_wy = 84.82

Answer 9

v_w = 88.24 kmph
@ 74° South of E

Answer 10

makes sense?

Answer 11

sorry i was away

Answer 12

does v_r mean v dot r?

Answer 13

oh never mind

Answer 14

yes thankyou for the help!