Aircraft Liftoff 3D

A hot air balloon takes off at \(A\) and climbs at a steady angle, \(\theta\_{1} = {{params.angle}}^{\circ}\) in the y-z plane at a speed of 11 \(km/h\). The hot air balloon is watched by two observers \(O\). Calculate the following values as the balloon passes point \(B\), \(x =\) 467 \(m\) and \(z =\) 275 \(m\).

Part 1

Calculate \(\dot{R}\).

Answer Section

Part 2

Calculate \(\dot{\theta}\).

Answer Section

Part 3

Calculate \(\dot{\phi}\).

Answer Section

Attribution

Problem is licensed under the CC-BY-NC-SA 4.0 license.