Graphical Representation of Motion
A graph represents the relation between two variable quantities in pictorial form. It is plotted between two variable quantities. The quantity that is varied our choice is called independent variable. The other quantity, which varies as a result of this change, is called dependent variable. For example, in distance-time graph, time is independent variable and distance is dependent variable. Similarly, in velocity-time graph, time is independent variable and velocity is dependent variable
Problems Based on Graphical Representation of Motion
Q.1. The velocity time graph of an ascending passenger lift is given below. What is the
acceleration of the lift: (i) during the first two seconds (ii) between 2nd and 10th second (iii)
during the last two seconds.
Q.2. The figure is the distance-time graph of an object. Do you think it represents a
real situation? If so, why? If not, why not?
Q.3. A body is moving uniformly with a velocity of 5m/s. Find graphically the distance travelled
by it in 5 seconds.
Q.4. Study the speed-time graph of a body shown in below figure and answer the following
questions:
(a) What type of motion is represented by OA?
(b) What type of motion is represented by AB?
(c) What type of motion is represented by BC?
(d) Calculate the acceleration of the body.
(e) Calculate the retardation of the body.
(f) Calculate the distance travelled by the body from A to B.
Q.5. In the above question, calculate (i) distance travelled from O to A (ii) distance travelled
from B to C. (iii) total distance travelled by the body in 16 sec.
Q.6. A car is moving on a straight road with uniform acceleration. The following table gives the
speed of the car at various instants of time:
Draw the speed time graph choosing a convenient scale. Determine from it (i) the
acceleration of the car (ii) the distance travelled by the car in 50 sec.
Q.7. The figure is the distance-time graph of an object. Do you think it represents a
real situation? If so, why? If not, why not?
Q.8. The graph in below figure shows the positions of a body at different times. Calculate the
speed of the body as it moves from (i) A to B (ii) B to C and (iii) C to D.
Q.9. A car is moving on a straight road with uniform acceleration. The speed of the car varies
with time as follows:
Draw the speed time graph choosing a convenient scale. Determine from it (i) the
acceleration of the car (ii) the distance travelled by the car in 10 sec.
Q.10. The graph given below is the velocity-time graph for a moving body. Find (i) velocity of
the body at point C (ii) acceleration acting on the body between A and B (iii) acceleration
acting on the body between B and C.
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