An airplane undergoes the following displacements: First, it flies 66 km in a direction 30° east of north. Next, it flies 49 km due south. Finally, it flies 100 km 30° north of west. Using vector components, determine how far the airplane ends up from its starting point.

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### Airplane Displacement Problem

An airplane undergoes the following displacements:
- **First Displacement:** It flies 66 km in a direction 30° east of north.
- **Second Displacement:** Next, it flies 49 km due south.
- **Third Displacement:** Finally, it flies 100 km 30° north of west.

Using vector components, determine how far the airplane ends up from its starting point.

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### Rocket Launch Problem

A test rocket is fired straight up from rest with a net acceleration of 20.0 m/s² upwards. After 4.00 seconds, the motor turns off, but the rocket continues to coast upward with no appreciable air resistance (decelerating). What maximum elevation does the rocket reach during its flight?

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There are no graphs or diagrams included with the problems above.
Transcribed Image Text:### Airplane Displacement Problem An airplane undergoes the following displacements: - **First Displacement:** It flies 66 km in a direction 30° east of north. - **Second Displacement:** Next, it flies 49 km due south. - **Third Displacement:** Finally, it flies 100 km 30° north of west. Using vector components, determine how far the airplane ends up from its starting point. --- ### Rocket Launch Problem A test rocket is fired straight up from rest with a net acceleration of 20.0 m/s² upwards. After 4.00 seconds, the motor turns off, but the rocket continues to coast upward with no appreciable air resistance (decelerating). What maximum elevation does the rocket reach during its flight? --- There are no graphs or diagrams included with the problems above.
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