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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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Displacement is given by the area under the velocity-time graph of the object and acceleration is given by the slope of velocity-time graph.
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Asserion : The acceleration of an object at a particular time is the slope of the velocity-time graph at that instant of time. Reason : For uniform motion acceleration is zero.

What conclusion can you draw about the acceleration of a body from the speed-time graph shown below ?

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 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

What can you say about the motion of a body if : (a) its displacement-time graph is a straight line ? (b) its velocity-time graph is a straight line ?

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