7=0 Engine ignites. 7=28 Engine shuts down. Maximum height; parachute deploys. Note: Figures not drawn to scale. Rocket descends. Ground A model rocket of mass 0.5 kg is launched vertically with an engine that is ignited at time t = 0, as shown to the left. The engine provides a constant force of 15 N upward for 2.0 s. After 2 seconds, the engine shuts off and the rocket coasts upward and reaches a maximum height. Air resistance is negligible during this time. Upon reaching its maximum height the rocket deploys a parachute. The parachute's large size and shape means air resistance is no longer negligible; there is now an upward air resistance force. The rocket eventually speeds up a downward terminal velocity. Terminal velocity is the term for when a falling object reaches a constant downward velocity; something falling at terminal velocity is no longer speeding up.

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Calculate the maximum height reached by the rocket.

**Rocket Launch and Descent Dynamics**

**Diagram Explanation:**
The diagram illustrates the stages of a model rocket's flight, with key moments highlighted:

1. **t = 0**: The engine ignites, launching the rocket vertically.
2. **t = 2 s**: The engine shuts down after providing a constant upward force of 15 N for 2 seconds. The rocket continues to ascend.
3. **Maximum Height**: The rocket reaches its peak altitude, and the parachute is deployed.
4. **Rocket Descends**: The rocket begins its descent back to the ground under the influence of gravity and air resistance provided by the parachute.

*Note: Figures in the diagram are not drawn to scale.*

**Text Explanation:**
A model rocket with a mass of 0.5 kg is launched vertically. The engine, ignited at time t = 0, exerts a constant force of 15 N upwards for 2 seconds. After the engine ceases operation, the rocket coasts upward until it reaches its maximum height, with negligible air resistance during this phase.

Upon reaching maximum height, a parachute is deployed, considerably increasing air resistance due to its large size and shape. This resistance acts upward as the rocket begins to descend. The rocket accelerates downward until it reaches terminal velocity—a state of constant velocity where acceleration ceases due to balanced forces. At terminal velocity, the rocket no longer speeds up as it descends.
Transcribed Image Text:**Rocket Launch and Descent Dynamics** **Diagram Explanation:** The diagram illustrates the stages of a model rocket's flight, with key moments highlighted: 1. **t = 0**: The engine ignites, launching the rocket vertically. 2. **t = 2 s**: The engine shuts down after providing a constant upward force of 15 N for 2 seconds. The rocket continues to ascend. 3. **Maximum Height**: The rocket reaches its peak altitude, and the parachute is deployed. 4. **Rocket Descends**: The rocket begins its descent back to the ground under the influence of gravity and air resistance provided by the parachute. *Note: Figures in the diagram are not drawn to scale.* **Text Explanation:** A model rocket with a mass of 0.5 kg is launched vertically. The engine, ignited at time t = 0, exerts a constant force of 15 N upwards for 2 seconds. After the engine ceases operation, the rocket coasts upward until it reaches its maximum height, with negligible air resistance during this phase. Upon reaching maximum height, a parachute is deployed, considerably increasing air resistance due to its large size and shape. This resistance acts upward as the rocket begins to descend. The rocket accelerates downward until it reaches terminal velocity—a state of constant velocity where acceleration ceases due to balanced forces. At terminal velocity, the rocket no longer speeds up as it descends.
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