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What does the slope of a work-time graph...

What does the slope of a work-time graph represent?

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To determine what the slope of a work-time graph represents, we can follow these steps: ### Step-by-Step Solution: 1. **Understanding the Graph**: A work-time graph plots work done (W) on the y-axis against time (t) on the x-axis. 2. **Identifying the Slope**: The slope of a graph is defined as the change in the y-axis variable divided by the change in the x-axis variable. In this case, the slope (m) can be expressed mathematically as: \[ ...
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Knowledge Check

  • What does the slope of a speed-time graph indicate ?

    A
    Speed
    B
    Acceleration
    C
    velocity
    D
    none of the above
  • What does the slope of a distance-time graph indicate ?

    A
    Speed
    B
    Acceleration
    C
    velocity
    D
    none of the above
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    Graphs are very useful to represent a physical situation. Various quantities can be easily represented on graphs and other quantites can be determined from the graph. For example the slope of velocity-time graph represents instantaneous acceleration. For a motion with constant acceleration slope of velocity-time graph is constant. If acceleration is changing with time, slope with change and thus velocity-time graph will be a non-linear curve. Further the area of velocity-time graph gives displacement. For the given velocity-time graph the possibly correct acceleration-time relationship is