Aircraft Liftoff 3D#

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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 5 \(km/h\). The hot air balloon is watched by two observers \(O\). Calculate the following values as the balloon passes point \(B\), \(x =\) 490 \(m\) and \(z =\) 318 \(m\).

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.
The Creative Commons 4.0 license requiring attribution-BY, non-commercial-NC, and share-alike-SA license.