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If the slope of a quantity 𝛃 versus time graph velocity. Then, the quantity 𝛃 is

If the slope of a quantity 𝛃 versus time graph velocity. Then, the quantity 𝛃 is Correct Answer <p>Displacement.</p>

Correct option-2

Concept:-

  • The Displacement-time graph is nothing but a plot between displacement and time. 
  • The displacement of a moving object is a vector quantity so it can be both positive and negative.
  • The graph between displacement and time (x-t) is very useful in numerical analysis.
  • The x-t graph gives us the idea of velocity and acceleration.
  • By the slope of the x-t graph, we can find the velocity.

 

Explanation:-

  • The slope of the tangent in a graph plotted between two physical quantities is the rate of change of that quantity represented by the Y-axis with respect to the change in the quantity represented by the x-axis.
  • We know that For the displacement- time graph, the slope of the x-t graph determines the instantaneous velocity and
  • Its unit is m/s.

 

[ alt="x-t graph" src="//storage.googleapis.com/tb-img/production/21/04/x-t%20graph.png" style="width: 535px; height: 167px;">

 

  • The displacement time graph for an object at rest is a straight line with zero slopes.
  • The displacement time graph for an object having uniform motion in a straight line with a non-zero slope.
  • The displacement time graph for an object with uniform acceleration is a parabola.

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