# vector addition -velocities

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A plane is headed eastward at a speed of 156 m/s. A 20 m/s wind is blowing southward at the same time as the plane is flying. The velocity of the plane relative to the ground is:

Answer Choices:

157 m/s at an angle of 7.31 degrees south of east

157 m/s at an angle of 7.31 degrees east of south

155 m/s at an angle of 7.36 degrees south of east

155 m/s at an angle of 7.36 degrees east of south

https://brainmass.com/physics/relative-velocity/vector-addition-velocities-110327

#### Solution Preview

Please see the attached file.

The problem is an illustration of vector addition

Answer

The problem is an illustration of vector addition

Velocity of the plane vplane =156 m/s (it is a vector along east)

Velocity of the wind vwind = 20 ...

#### Solution Summary

By the principle of vector addition the particle moving in a plane is illustrated

$2.49