A small airplane flies with a speed relative to the ground (ground speed) of 207
ID: 1952056 • Letter: A
Question
A small airplane flies with a speed relative to the ground (ground speed) of 207.0 km/h in a direction 22.0 degrees to the east of north. If the plane is headed due north and the deviation from that direction is due to a cross wind blowing from west to east, what is the speed of the wind (in km/h)?
A small airplane flies with a speed relative to the ground (ground speed) of 207.0 km/h in a direction 22.0 degrees to the east of north. If the plane is headed due north and the deviation from that direction is due to a cross wind blowing from west to east, what is the speed of the wind (in km/h)?Explanation / Answer
vp + vw = v ;
v =207 ( sin 22 i + cos 22 j ) ;
vp = vp j ;
vw = vw i ;
so
vp j + vw i = 207 ( sin 22 i + cos 22 j ) ;
or vp = 207 cos 22 = 191.927 km / hr ; <--------plane speed
and vw = 77.543 km /hr <---------wind speed