Airplane Relative Motion#

An airplane flying at 760.0 \(\rm{km/h}\) at 45.0 \(^{\circ}\) West of South relative to the air is subjected to a jet stream to the East of 180.0 \(\rm{km/h}\) , 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.

Please upload your drawing as a pdf file titled “vector.pdf”

Answer Section#

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.

Answer Section#

Please enter in a numeric value.

Part 3#

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

Answer Section#

Please enter in a numeric value.

Part 4#

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

Answer Section#

Please enter in a numeric value.

Part 5#

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

Answer Section#

Please enter in a numeric value.

Part 6#

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

Answer Section#

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, \(v\_{pg}\).

Answer Section#

Please enter in a numeric value.

Part 8#

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

Answer Section#

Please enter in a numeric value.

Attribution#

Problem is licensed under the CC-BY-NC-SA 4.0 license.
The Creative Commons 4.0 license requiring attribution-BY, non-commercial-NC, and share-alike-SA license.