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How can the distance travelled is calcul...

How can the distance travelled is calculated from velcity-time graph in a unitor motion ?

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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

SL ARORA-MECHANICS-Exercise
  1. If the displacement-time of a particle is parallel to (b) displacement...

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  2. If the displacement-time graph for a particle is parallel to time-axis...

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  3. How can the distance travelled is calculated from velcity-time graph i...

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  4. The area under acceleration-time graph gives

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  5. What is the area under the velocity-time curve in the case of a body p...

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  6. Assertion:- A particle having zero acceleration must have constant spe...

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  7. Derive the equations of motion given below: v=u+at

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  8. A body projected up reached a point P of its path at the end of 4 seco...

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  9. When a body is subjected to a uniform acceleration, it always moves in...

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  10. A uniform moving cricket ball is turned back by hitting it with a bat ...

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  11. The position coordinate of a moving particle is given by x = 6 + 18t +...

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  12. A player throws a ball upwards with an initial speed of 29.4 ms^(-1). ...

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  13. Under what codition will the distance and displacement of a moving obj...

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  14. Under what conditions (s) is the magnitude of average velocity of an o...

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  15. What does the slope of velocity-time graph represent ?

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  16. The area under velocity-time graph for a particle in a given interval ...

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  17. The area under acceleration-time graph gives

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  18. The displacement-time graph for two particles A and B are straight lin...

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  19. Is the time variationof position, shown in the adjacent figure, observ...

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  20. Displacement-time graph of any object is shown in the adjacent figure....

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