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Slope of a velocity – time graph gives...

Slope of a velocity – time graph gives

A

the distance

B

the displacement

C

the acceleration

D

the speed

Text Solution

AI Generated Solution

To solve the question regarding what the slope of a velocity-time graph represents, we can follow these steps: ### Step 1: Understand the Components of the Graph - A velocity-time (VT) graph plots velocity on the y-axis and time on the x-axis. - The slope of a graph is defined as the change in the y-axis variable divided by the change in the x-axis variable. ### Step 2: Identify the Variables - In the VT 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 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

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

Knowledge Check

  • 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.

    A
    If both assertion and reason are trure and reason is the correct explanation of assertion.
    B
    If both assertion and reason are true but reason is not the correct explanations of assertion.
    C
    If assertion is true but reason is false.
    D
    If both assertion and reason is false
  • Similar Questions

    Explore conceptually related problems

    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

    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. The correct relation between v_(0),a_(1),a_(2) and t_(0) 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 displacement of the object between 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

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

    For a uniformly retarded motion, the velocity-time graph is :