Kinematics Graphs - Practice Questions & MCQ

I.  Position time graph-

The motion of an object can be represented by a position-time graph.

Such a graph is very useful to analyze different aspects of the motion of an object.

The slope of the position-time graph represents the velocity of the particle

1. Position time graph when the body is at rest 

Figure-1 shows position time graph when the body is at rest 

Position time graph for stationary object is straight line parallel to time axis.

2. Position time graph for uniform motion

Figure-2 shows position time graph for uniform motion.

Here the object is moving along a straight line and covers equal distances in equal intervals of time.

3.  Position – time graph For an object in non-uniform motion

The figure-3,4  shows a position-time graph for non-uniform motion.

In figure-3, acceleration is positive and in Figure-4, acceleration is negative.

Here object is moving along straight Line and covers equal distance in unequal time interval.

 II.   Velocity Time Graph

The graph is plotted by taking time t along x-axis and velocity of the particle on y-axis.

• The area of the velocity v/s time graph for the particular time interval gives the displacement and distance travelled by the body for a given time interval.

• Slope of velocity-time graph represents the acceleration of the particle.

1. When particle is moving with constant velocity.

        Figure-5 shows constant velocity and zero acceleration.

2. For  uniform acceleration of the particle

       Figure-6 shows constant positive acceleration.

III.  Acceleration-Time graph  

The graph is plotted by taking time t along x-axis and acceleration of the particle on y-axis.

• The area of the acceleration v/s time graph for the particular time interval gives the change in velocity of the body for a given time interval.

• Slope of the acceleration-time graph represents the jerk.

1. When particle having Constant acceleration

       Figure-7 represents uniform positive acceleration

2. A particle having uniformly increasing acceleration

      Figure-8 represents positive and uniformly increasing acceleration.