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Study the following velocity-time graph....

Study the following velocity-time graph. Determine the displacement and distance in the time interval `t=0` to `t=12 s`. Sketch the acceleration-time graph.

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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

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