physics
posted by Anonymous .
An airplane has a velocity relative to the air of 181 m/s in a westerly direction. If the wind has a speed relative to the ground of 53 m/s directed to the north, what is the speed of the plane relative to the ground?

Vpg = Vpa + Vag
Vpa = 181m/s @ 180deg.
Vag = 53m/s @ 90deg.
V(hor) = 181cos180 + 53cos90,
V(hor) = 181 + 0 = 181m/s.
V(ver) = 181sin180 + 53sin90,
V(ver) = 0 + 53 = 53m/s.
V^2 = X^2 + Y^2,
V^2 = (181)^2 + (53)^2,
V^2 = 32761 + 2809 = 35570,
V=sqrt(35570) = 189m/s=Speed of plane relative to ground. 
DEFINITIONS
Vpg = Speed of plane relative to ground.
Vpa = Speed of plane relative to air.
Vag = Speed of air relative to ground.
Respond to this Question
Similar Questions

Physics
An airplane flies due north at 250 km/h relative to the air. There is a wind blowing at 60 km/h to the northeast relative to the ground. What are the plane's speed and direction relative to the ground? 
physics
An airplane has a velocity relative to the air of 192 m/s in the westerly direction. If the wind has a speed relative to the ground of 59 m/s directed to the north, what is the speed of the plane relative to the ground? 
science
An airplane flies due north at 235 km/h relative to the air. There is a wind blowing at 65 km/h to the northeast relative to the ground. What are the plane's speed and direction relative to the ground? 
Physics
Consider a plane with a velocity relative to the air of 198 m/s in a westerly direction. If the wind has a speed relative to the ground of 56 m/s (in an easterly direction), how long does it take for the plane to travel from one city … 
Physics
An airplane flies due south at 185 km/h relative to the air. There is a wind blowing at 68 km/h to the east relative to the ground. What are the plane's speed and direction relative to the ground? 
physic
An airplane flies due north at 200 km/h relative to the air. There is a wind blowing at 70 km/h to the northeast relative to the ground. What are the plane's speed and direction relative to the ground? 
physics
An airplane flies due south at 185 km/h relative to the air. There is a wind blowing at 68 km/h to the east relative to the ground. What are the plane's speed and direction relative to the ground? 
Physics
An airplane has a velocity of 580 km/h relative to the moving air. At the same time, a wind blows northward with a speed of 92 km/h relative to earth. The airplane is moving in an easterly direction relative to earth. Find the speed … 
Physics
an airplane has a velocity of 499 km/h relative to the moving air. at the same time, a wind blows northward with a speed of 87 km/h relative to the earth. the airplane is moving in an easterly direction relative to the earth. find … 
Physics
Consider a plane with a velocity relative to the air of 195 m/s in a westerly direction. If the wind has a speed relative to the ground of 53 m/s (in an easterly direction), how long does it take for the plane to travel from one city …