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What does the slope of a displacement-ti...

What does the slope of a displacement-tine graph represent? Can displacement-time graph be parallel to the displacement axis? Give reason for your answer.

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### Step-by-Step Solution: 1. **Understanding the Slope of a Displacement-Time Graph**: - The slope of a displacement-time graph represents the velocity of the object. - Mathematically, slope (m) is defined as the change in displacement (Δy) divided by the change in time (Δx), which can be expressed as: \[ \text{slope} = \frac{\Delta \text{displacement}}{\Delta \text{time}} = \frac{y_2 - y_1}{x_2 - x_1} \] ...
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Knowledge Check

  • Which of the following displacement-time graphs represent damped harmonic oscillation?

    A
    B
    C
    D
  • Figure show the displacement - time graph of a particle moving on the x-axis

    A
    the particle is continuously going in positive X direction
    B
    the particle is at rest
    C
    the velocity increases up to a time `t_(0)` and then becomes constant.
    D
    the particle moves at constant velocity up to a time `t_(0)` and then stops.
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