Physics
What can you say about the nature of motion of a body if its displacement-time graph is —
(a) a straight line parallel to time axis?
(b) a straight line inclined to the time axis with an acute angle?
(c) a straight line inclined to the time axis with an obtuse angle?
(d) a curve
Answer
The following can be said about the nature of motion of a body, if its displacement-time graph is as follows —
(a) A straight line parallel to time axis — shows that the body is stationary (or no motion).
(b) A straight line inclined to the time axis with an acute angle — shows the linear relationship between the displacement and time (i.e., the body travels equal distance in equal intervals of time in a certain direction). Hence, we can say the motion is away from the starting point with uniform velocity.
(c) A straight line inclined to the time axis with an obtuse angle — shows that there is motion towards the starting point with a uniform velocity.
(d) A curve — shows that the body moves with varying speed in a fixed direction. Hence, we can say that there is motion with variable velocity.
Related Questions
The figure shows displacement-time graph of two vehicles A and B moving along a straight road. Which vehicle is moving faster? Give reason.
State how the velocity-time graph can be used to find —
(i) the acceleration of a body,
(ii) the distance travelled by the body in a given time, and
(iii) the displacement of the body in a given time.
Draw a displacement-time graph for a boy going to school with a uniform velocity.
How is the velocity obtained from the displacement-time graph for a body moving with a varying speed in a fixed direction?