Consider the net force-time graph below.  The important points on the graph are (0 s, 35 N), (28 s, 35 N), and (55 s, 0 N).  If an 18 kg rocket with initial velocity 196 m/s experiences this net force, what will be its final velocity, in m/s? (Assume the particle moves one dimensionally.) (Please answer to the fourth decimal place - i.e 14.3225)

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Consider the net force-time graph below.  The important points on the graph are (0 s, 35 N), (28 s, 35 N), and (55 s, 0 N).  If an 18 kg rocket with initial velocity 196 m/s experiences this net force, what will be its final velocity, in m/s? (Assume the particle moves one dimensionally.)

(Please answer to the fourth decimal place - i.e 14.3225)

The graph presented is a force vs. time graph, displaying the force \( F \) in newtons (N) on the vertical axis and time \( t \) in seconds (s) on the horizontal axis.

### Description

1. **Initial Phase**:
   - The graph begins with a horizontal line, indicating a constant force over time. This implies that the force was constant during this initial period.

2. **Transition Phase**:
   - The graph then displays a downward diagonal line. This represents a decrease in force over time, suggesting that the force is being gradually reduced until it reaches zero.

3. **Final Phase**:
   - At the end of the diagonal line, the force reaches zero and remains constant at that level, indicating the cessation of the applied force.

### Analysis

- **Constant Force**: The initial horizontal section signifies a period where the force exerted is stable and unchanging.
- **Decreasing Force**: The diagonal line indicates a linear decrease, suggesting a steady reduction of force until it is entirely dissipated.
- **Zero Force**: Once the force reaches zero, no further force is applied.

This graph could represent various physical scenarios, such as the stopping of a vehicle, where brakes are applied consistently and then force is gradually reduced, bringing the vehicle to a halt.
Transcribed Image Text:The graph presented is a force vs. time graph, displaying the force \( F \) in newtons (N) on the vertical axis and time \( t \) in seconds (s) on the horizontal axis. ### Description 1. **Initial Phase**: - The graph begins with a horizontal line, indicating a constant force over time. This implies that the force was constant during this initial period. 2. **Transition Phase**: - The graph then displays a downward diagonal line. This represents a decrease in force over time, suggesting that the force is being gradually reduced until it reaches zero. 3. **Final Phase**: - At the end of the diagonal line, the force reaches zero and remains constant at that level, indicating the cessation of the applied force. ### Analysis - **Constant Force**: The initial horizontal section signifies a period where the force exerted is stable and unchanging. - **Decreasing Force**: The diagonal line indicates a linear decrease, suggesting a steady reduction of force until it is entirely dissipated. - **Zero Force**: Once the force reaches zero, no further force is applied. This graph could represent various physical scenarios, such as the stopping of a vehicle, where brakes are applied consistently and then force is gradually reduced, bringing the vehicle to a halt.
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