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The image you uploaded shows a graph of a sinusoidal wave representing oscillations \( x(t) \). The problem asks you to determine the amplitude of the oscillations.

### Analyzing the Graph:
- **Amplitude** is the maximum displacement from the equilibrium (central) position.
- The graph shows a sinusoidal wave, which repeats regularly.
- The wave reaches its maximum positive and negative values symmetrically above and below the horizontal axis.

### Determining the Amplitude:
- The maximum positive value the graph reaches is marked around \( 0.6 \) meters.
- Similarly, the maximum negative value also appears to be \( -0.6 \) meters.
- The amplitude \( A \) is the distance from the equilibrium position (which is \( 0 \) meters) to the peak of the wave.

Therefore, the amplitude \( A \) is \( 0.6 \) meters.

### Answer:
\[
\text{Amplitude (m)} = 0.6 \text{ meters}
\]

Would you like more details or have any questions?

Here are 5 related questions for further exploration:
1. How would you determine the period of the oscillation from the graph?
2. What is the equation of the oscillating function \( x(t) \) given the amplitude and period?
3. How does the amplitude affect the energy of the oscillating system?
4. Can you explain the relationship between amplitude and frequency in harmonic motion?
5. How would damping affect the amplitude of an oscillation over time?

**Tip:** When analyzing oscillations, always identify the amplitude, period, and frequency, as they are fundamental characteristics that define the motion.

Based on the graph of oscillations x(t), what is the amplitude (m)?

Learn how to determine the amplitude of a sinusoidal oscillation from a given graph. This problem involves key concepts in trigonometry and harmonic motion, and is suitable for students in Grades 9-12.

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