Airplane Relative Motion#
An airplane flying at 840.0 \(\rm{km/h}\) at 41.0 \(^{\circ}\) West of South relative to the air is subjected to a jet stream to the East of 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.
