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The image you uploaded shows a problem (Problem 66) related to the motion of an object moving along a straight line. The graph provided (Gambar 2-24) depicts the displacement \( x \) as a function of time \( t \). The graph is a sinusoidal wave, indicating periodic motion.

**Interpreting the graph:**

- The graph is a sine wave, which suggests simple harmonic motion.
- The x-axis represents time \( t \), while the y-axis represents displacement \( x \).
- The object oscillates around the equilibrium position (which seems to be at \( x = 0 \)).
- The motion is periodic with a certain amplitude (the maximum displacement) and period (the time it takes to complete one full oscillation).

**To answer the problem:**

You would need to sketch the graph of velocity \( v(t) \) and acceleration \( a(t) \) based on the given displacement-time graph \( x(t) \).

1. **Velocity \( v(t) \)**: The velocity is the derivative of displacement with respect to time. The velocity graph would show where the slope of the displacement graph is positive (velocity is positive) or negative (velocity is negative).

2. **Acceleration \( a(t) \)**: The acceleration is the derivative of velocity with respect to time or the second derivative of displacement. The acceleration graph would show where the velocity graph is increasing or decreasing.

Would you like a detailed explanation of how to sketch these graphs?

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### Relative Questions:

1. What is the general form of the equation for simple harmonic motion?
2. How do you calculate the period of a sine wave from its graph?
3. What is the relationship between acceleration and displacement in simple harmonic motion?
4. How can you determine the amplitude from the given graph?
5. How would the graphs of \( v(t) \) and \( a(t) \) look for this particular displacement graph?

### Tip:
When interpreting motion graphs, always remember that the velocity graph is derived from the slope of the displacement graph, and the acceleration graph is derived from the slope of the velocity graph.

Gambar 2-24 menunjukkan gambar x terhadap t untuk sebuah benda yang bergerak sepanjang garis lurus. Gambarlah grafik kasar v terhadap t dan a terhadap t untuk gerakan ini.

Learn how to interpret and sketch velocity and acceleration graphs from a displacement-time graph in simple harmonic motion. Understand key concepts such as differentiation in kinematics and the properties of simple harmonic motion, suitable for high school students in Grades 10-12.

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