5. A block is attached to a horizontal spring. Find a model for the displacement d as a function of time given the following conditions: a. At time t = 0, the block is pulled to the left 6 cm with a frequency of 2 Hz.

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Chapter1: Units, Trigonometry. And Vectors
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5. A block is attached to a horizontal spring. Find a model for the displacement as a function of time given the following conditions:

a. At time \( t = 0 \), the block is pulled to the left 6 cm with a frequency of 2 Hz.

b. At time \( t = 0 \), the initial displacement is 0 inches (moving to the right), the amplitude is 15 centimeters, and the period is 1 sec.

**Diagram Description:**

The diagram depicts a spring-mass system. A spring is shown attached to a block on a horizontal axis. The axis is marked with a scale from -3 to 3 with the zero position as the equilibrium point. The block seems displaced, extending the spring.
Transcribed Image Text:5. A block is attached to a horizontal spring. Find a model for the displacement as a function of time given the following conditions: a. At time \( t = 0 \), the block is pulled to the left 6 cm with a frequency of 2 Hz. b. At time \( t = 0 \), the initial displacement is 0 inches (moving to the right), the amplitude is 15 centimeters, and the period is 1 sec. **Diagram Description:** The diagram depicts a spring-mass system. A spring is shown attached to a block on a horizontal axis. The axis is marked with a scale from -3 to 3 with the zero position as the equilibrium point. The block seems displaced, extending the spring.
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