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How can you determine the displacement a...

How can you determine the displacement and the acceleration of an object from its velocity-time graph?

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To determine the displacement and acceleration of an object from its velocity-time graph, follow these steps: ### Step 1: Understand the Axes of the Graph - The velocity-time graph has time (t) on the x-axis and velocity (v) on the y-axis. ### Step 2: Determine Displacement - Displacement can be found by calculating the area under the velocity-time graph. - If the graph consists of simple shapes (like rectangles or triangles), you can use geometric formulas to find the area. ...
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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. The velocity-time graph for two objects P and Q are shown. The ratio of their respective acceleration is

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 will 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

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 will 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 displacement of the object between t = 2 s to t = 4 s is

The displacement-time graph of a moving object is shown in figure. Which of the velocity-time graphs shown in figure could represent the motion of the same body ?

A particle starting from rest moves along a straight line with constant acceleration for this velocity displacement graph will have the form-

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