# Airplane Relative Motion#

An airplane flying at 860.0 $$\rm{km/h}$$ at 41.0 $$^{\circ}$$ West of South relative to the air is subjected to a jet stream to the East of 190.0 $$\rm{km/h}$$ , relative to the ground.

Note: To convert from km/h to m/s, divide by 3.6!

## Part 1#

Draw a vector diagram showing how to graphically find $$\vec{v\_{pg}}$$ , the velocity of the plane relative to the ground as a vector sum of the two given vectors. On your diagram also label $$\vec{v\_{pa}}$$ , the velocity of the plane relative to the air, and $$\vec{v\_{ag}}$$ , the velocity of the air relative to the ground.

File upload box will be shown here.

## Part 2#

Define an $$xy$$ coordinate system with $$x$$ pointing to the East and $$y$$ pointing to the North. Solve for ($$v\_{pa}$$)$$\_x$$, the $$x$$-component of the plane relative to the air.

Please enter in a numeric value.

## Part 3#

Solve for ($$v\_{pa}$$)$$\_y$$, the $$y$$-component of the plane relative to the air.

Please enter in a numeric value.

## Part 4#

Solve for ($$v\_{ag}$$)$$\_x$$, the $$x$$-component of the air relative to the ground.

Please enter in a numeric value.

## Part 5#

Solve for ($$v\_{pg}$$)$$\_x$$, the $$x$$-component of the plane relative to the ground.

Please enter in a numeric value.

## Part 6#

Solve for ($$v\_{pg}$$)$$\_y$$, the $$y$$-component of the plane relative to the ground.

Please enter in a numeric value.

## Part 7#

Using some of your previous answers, solve for the speed of the airplane relative to the ground, $$v\_{pg}$$.

Please enter in a numeric value.

## Part 8#

Solve for the angle West of South of the airplane relative to the ground. 