Question

Which of the following displacement-time graphs represents a uniform motion?

Answer 1

Hint: As per the uniform motion the objects cover equal distances in equal intervals of time, however these small time intervals may be in the same fixed direction. Moreover the displacement time graph for uniform motion is a straight line with non-zero slope.

Complete step by step answer:
So as we already know that the displacement time graph for uniform motion is a straight line with non - zero slope. Because, the body covers equal distance in an equal interval of time as shown in the given figure.

Looking at option A. we find out that the time is changing but, the position of the object is not changing and hence, we can conclude that it is at rest.
From option B, we can get that the position of the object is first increasing slowly but at a certain point it is changing very sharply which represents non uniform motion.
From option D, it also represents the non – uniform motion.
Option C, correctly defines the uniform motion as the position of the object is uniformly changing with time.
Therefore the answer to this question is option (C).

Note:
Most of the people get confused with distance and displacement. But, there is a huge difference between displacement and distance i-e displacement is the shortest distance travelled by a body between initial position and the final position whereas the distance is the length of the path travelled by a body while moving from initial to final position.