Question

"An airplane ends up 540 miles and 20 degrees north of east from its departure point. If there was a steady wind of 30 mph from the northwest during the entire flight, then find the magnitude and direction that the plane would have gone if there had been no wind".

Answer 1

Answer:

vr = $540$

vp = 486.22 j + 205.9 j

Theta  $= 22.95$

Step-by-step explanation:

The resultant velocity vr = vp + vw

vp = vector velocity of plane and

vw = vector velocity of wind

vr = vector resultant velocity

in one hour the plane travels 540 miles and hence the speed is 540 mph

Hence vr = $540$

vp = 486.22 j + 205.9 j

Theta

$= tan^{-1}\frac{205.9}{486.22} \\= 22.95$