Physics-
General
Easy

Question

The acceleration-time graph of a body is shown below

The most probable velocity-time graph of the body is

  1.    
  2.    
  3.    
  4.    

The correct answer is:


    From given a minus t graph it is clear that acceleration is increasing at constant rate
    therefore fraction numerator d a over denominator d t end fraction equals k (constant) Þ a equals k t (by integration)
    Þ fraction numerator d v over denominator d t end fraction equals k t Þ d v equals k t d t
    Þ not stretchy integral d v equals k not stretchy integral t d tÞv equals fraction numerator k t to the power of 2 end exponent over denominator 2 end fraction
    i.e. v is dependent on time parabolically and parabola is symmetric about v-axis.
    and suddenly acceleration becomes zero. i.e. velocity becomes constant.
    Hence (c) is most probable graph

    Related Questions to study

    General
    physics-

    The given graph shows the variation of velocity with displacement. Which one of the graph given below correctly represents the variation of acceleration with displacement

    The given graph shows the variation of velocity with displacement. Which one of the graph given below correctly represents the variation of acceleration with displacement

    physics-General
    General
    physics-

    Acceleration-time graph of a body is shown. The corresponding velocity-time graph of the same body is

    Acceleration-time graph of a body is shown. The corresponding velocity-time graph of the same body is

    physics-General
    General
    physics-

    A train moves from one station to another in 2 hours time. Its speed-time graph during this motion is shown in the figure. The maximum acceleration during the journey is

    A train moves from one station to another in 2 hours time. Its speed-time graph during this motion is shown in the figure. The maximum acceleration during the journey is

    physics-General
    parallel
    General
    physics-

    The graph of displacement v/s time is  Its corresponding velocity-time graph will be

    The graph of displacement v/s time is  Its corresponding velocity-time graph will be

    physics-General
    General
    physics-

    A ball is dropped vertically from a height d above the ground. It hits the ground and bounces up vertically to a height d divided by 2. Neglecting subsequent motion and air resistance, its velocity v varies with the height h above the ground is

    A ball is dropped vertically from a height d above the ground. It hits the ground and bounces up vertically to a height d divided by 2. Neglecting subsequent motion and air resistance, its velocity v varies with the height h above the ground is

    physics-General
    General
    physics-

    The displacement-time graph of moving particle is shown below

    The instantaneous velocity of the particle is negative at the point

    The displacement-time graph of moving particle is shown below

    The instantaneous velocity of the particle is negative at the point

    physics-General
    parallel
    General
    physics-

    In the following graph, distance travelled by the body in metres is

    In the following graph, distance travelled by the body in metres is

    physics-General
    General
    physics-

    For the velocity-time graph shown in figure below the distance covered by the body in last two seconds of its motion is what fraction of the total distance covered by it in all the seven seconds

    For the velocity-time graph shown in figure below the distance covered by the body in last two seconds of its motion is what fraction of the total distance covered by it in all the seven seconds

    physics-General
    General
    physics-

    Velocity-time (v-t) graph for a moving object is shown in the figure. Total displacement of the object during the time interval when there is non-zero acceleration and retardation is

    Velocity-time (v-t) graph for a moving object is shown in the figure. Total displacement of the object during the time interval when there is non-zero acceleration and retardation is

    physics-General
    parallel
    General
    physics-

    The velocity-time graph of a body moving in a straight line is shown in the figure. The displacement and distance travelled by the body in 6 sec are respectively

    The velocity-time graph of a body moving in a straight line is shown in the figure. The displacement and distance travelled by the body in 6 sec are respectively

    physics-General
    General
    physics-

    A lift is going up. The variation in the speed of the lift is as given in the graph. What is the height to which the lift takes the passengers

    A lift is going up. The variation in the speed of the lift is as given in the graph. What is the height to which the lift takes the passengers

    physics-General
    General
    physics-

    The x minus t graph shown in figure represents

    The x minus t graph shown in figure represents

    physics-General
    parallel
    General
    physics-

    The displacement versus time graph for a body moving in a straight line is shown in figure. Which of the following regions represents the motion when no force is acting on the body

    The displacement versus time graph for a body moving in a straight line is shown in figure. Which of the following regions represents the motion when no force is acting on the body

    physics-General
    General
    physics-

    The v minus t graph of a moving object is given in figure. The maximum acceleration is

    The v minus t graph of a moving object is given in figure. The maximum acceleration is

    physics-General
    General
    physics-

    The graph between the displacement x and time t for a particle moving in a straight line is shown in figure. During the interval O A comma A B comma B C and t equals 1 comma   v subscript x end subscript equals 0, the acceleration of the particle is

    OA, AB, BC, CD

    The graph between the displacement x and time t for a particle moving in a straight line is shown in figure. During the interval O A comma A B comma B C and t equals 1 comma   v subscript x end subscript equals 0, the acceleration of the particle is

    OA, AB, BC, CD

    physics-General
    parallel

    card img

    With Turito Academy.

    card img

    With Turito Foundation.

    card img

    Get an Expert Advice From Turito.

    Turito Academy

    card img

    With Turito Academy.

    Test Prep

    card img

    With Turito Foundation.