physics
posted by Elisa .
A jet airliner moving initially at 300 mi/h due east enters a region where the wind is blowing at 100 mi/h in a direction 26.0° north of east. What is the new velocity of the aircraft relative to the ground?
in m/h at degrees North of east.

physics 
drwls
Add the following two vectors:
300 i (the air speed of the plane);
100 cos26 i + 100 sin26 j (wind speed relative to ground)
The sum is 389.0 i + 43.8 j
That a means 389 mph velocity component in the east direction and 43.8 mph in the north direction. Take the square root of the sum of the two swuares for the speed, and the arctan of 43.8/389 for the direction north of east. 
physics 
Elisa
thank you.
Respond to this Question
Similar Questions

...Physics...
A jet moving at 500 km/h due east moves into a region where the wind is blowing at 120 km/h in a direction 30 degrees north of eat. What is the new velocity and the direction of the aircraft relative to the ground? 
Physics
You are flying in a light airplane spotting traffic for a radio station. Your flight carries you due east above a highway. Landmarks below tell you that your speed is 46.0 m/s relative to the ground and your air speed indicator also … 
physics
A jet airliner moving at 500 mph due east moves into a region where the wind is blowing at 120 mph in a direction north . What is the new velocity and direction of the aircraft? 
Physics
The compass in a plane indicates that the plane is heading due east, with an airspeed of 250 km/h (Vpa). A steady wind is blowing with a magnitude of 75km/h, which increases the velocity of the plane, relative to the ground. If the … 
physics
a jet airliner moving initially at 3..00X10^2 mi/h due east enters a region where the wind is blowing 1.0 x 10^2 mi/h in a direction 30 degrees north of east. A) find the components of the velocity of the jet airliner relative to the … 
physics
An aircraft is flying at the speed of 354km/hr relative to the air is observed from the ground to have a velocity of 300km/hr in the north east direction. The wind is blowing from east. Find the speed of the wind and the direction … 
Physics
An airplane moves at 300 mi/hr relative to the air. It must fly from city A to city B, 600 miles due east. One day the wind is blowing at 100 mi/hr in a direction of 30 degrees north of east. Draw a diagram. b. What will the velocity … 
Physics
An aircraft has a cruising speed of 100 m/s On a particular day, a wind is blowing from the west at 75.0 m/s If the plane is pointed due north, what would be the magnitude and direction of the velocity relative to the ground? 
physics
The pilot of an airplane wishes to fly due north, but there is a 71 km/h wind blowing toward the east. (a) In what direction should the pilot head her plane if its speed relative to the air is 314 km/h? 
math
Tom flies the helicopter through calm skies at a velocity v1. The direction of v1 is 15o north of east, and the speed is 180 km/h. Eventually, however, he enters a windy part of the atmosphere and finds that his helicopter now moves …