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Position-time graph for motion with zero...

Position-time graph for motion with zero acceleration is

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Position - time graph for motion with negative acceleration is

Assertion : The displacement-time graph of a body moving with uniform acceleration is a straight line. Reason : The displacement is proportional to time for uniformly accelerated motion.

How is the position-time graph of uniformly accelerated motion id one dimension helpful in studying the motion of the object ?

Draw position-time graphs for two objects having zero relative velocity.

STATEMENT - 1 : The slope on a position-time graph is representative of the acceleration of the object. STATEMENT - 2 : A straight, diagonal line on a position-time graph is representative of an onject with a constant velocity. STATEMENT - 3 : I an object is at rest, then the position-time graph must be a horizontal line located on the time-axis.

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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 above situation let t_(1) be the time of accelerated motion and t_(2) be the time or retarded motion, then the correct relation 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