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Graphs are very useful to represent a ph...

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

A

1

B

`sqrt3`

C

`(1)/(sqrt3)`

D

None of these

Text Solution

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The correct Answer is:
B
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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 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 fisplacement of the object vetween t = 2 s to t = 4 s 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 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. A car starts from rest with a constant acceleration a_(1) for some time and attains a velocity v_(0) . Then it immediately retards at a constant rate a_(2) to rest. The total time to journey is t_(0) Identify the correct velocity-time graph

What does the slope of velocity-time graph represent ?

What does the slope of a work-time graph represent?

Which of the following velocity-time graphs represent uniform motion

The slope of velocity-time graph for uniform motion of an object is

Knowledge Check

  • 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 average velocity of the car for the entire trip is

    A
    `v_(0)`
    B
    `(v_(0))/(2)`
    C
    `(v_(0))/(3)`
    D
    `(v_(0))/(4)`

  • 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 correct relation between v_(0),a_(1),a_(2) and t_(0) is

    A
    `v_(0)=((a_(1)a_(2))/(a_(1)+a_(2)))t_(0)^(2)`
    B
    `v_(0)=((a_(1)a_(2))/(a_(1)+a_(2)))t_(0)`
    C
    `v_(0)=((a_(1)+a_(2))/(2))t_(0)`
    D
    `v_(0)=sqrt(a_(1)a_(2)t_(0))`

  • 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

    A
    `a_(1)t_(2)=a_(2)t_(1)`
    B
    `a_(1)t_(1)=a_(2)t_(2)`
    C
    `a_(1)t_(1)^(2)=a_(2)t_(2)^(2)`
    D
    `a_(1)t_(2)^(2)=a_(2)t_(1)^(2)`
    • AAKASH INSTITUTE-MOTION IN STRAIGHT LINE-Assignment (SECTION - D)
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    2. Graphs are very useful to represent a physical situation. Various quan...

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    3. Graphs are very useful to represent a physical situation. Various quan...

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    4. Graphs are very useful to represent a physical situation. Various quan...

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    5. Graphs are very useful to represent a physical situation. Various quan...

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    6. Graphs are very useful to represent a physical situation. Various quan...

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    7. Graphs are very useful to represent a physical situation. Various quan...

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    8. A car starts moving on a straight road. It makes the entire journey in...

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    9. A car starts moving on a straight road. It makes the entire journey in...

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    10. A car starts moving on a straight road. It makes the entire journey in...

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    11. A rocket is fired upwards such that its engine takes 10 s to explods f...

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    12. A rocket is fired upwards such that its engine takes 10 s to explods f...

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    15. A car accelerates from rest at constant rate of 2ms^(-2) for some time...

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    16. A car accelerates from rest at constant rate of 2ms^(-2) for some time...

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    17. A car acceleration from rest at a constant rate 2m//s^(2) for some tim...

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    18. A car accelerates from rest at constant rate of 2ms^(-2) for some time...

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    19. A car accelerates from rest at constant rate of 2ms^(-2) for some time...

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    20. A car accelerates from rest at constant rate of 2ms^(-2) for some time...

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