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The distance-time graph of the motion of...

The distance-time graph of the motion of an object moving with a contant speed is a straight line.

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The distance-time graph of the motion of an object moving with a constant speed is a straight line.
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Show that the area under the velocity-time graph of an object moving with constant acceleration in a straight line in certain time interval is equal to the distance covered by the object in that interval.

Show that area under the velocity-time graph of an object moving with constant acceleration in a straight line in certain time interval is equal to the distance covered by the object in the interval.

Knowledge Check

  • The slope of a distance-time graph of a moving object indicates :

    A
    distance moved by the object
    B
    time taken by the object
    C
    speed of the object
    D
    position of the object
  • The graph of distance -time graph for uniform motion for an object is

    A
    straight line
    B
    curved line
    C
    first straight line then curved line
    D
    None of these
  • The displacment-time graph of a particle moving with respect to a reference point is a straight line

    A
    the reference point is stationary with zero velocity.
    B
    the accleration of the object is zero
    C
    body moves with uniform velocity
    D
    all the above
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    Draw a distance-time graph to show the motion of a car moving with a speed which is not constant (non-uniform speed).

    Assertion : Distance-time graph of the motion of a body having uniformly accelerated motion is a straight line inclined to the time axis. Reason : Distance travelled by a body having uniformly accelerated motion is directly proportional to the square of the time taken.

    Show the shape of the distance-time graph for the motion in the following cases: A car moving with a constant speed.

    Figure 2.12 shows distance-time graphs of two objects A and B. Which object is moving with a greater speed when both are moving ?

    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.