question_answer

Figure shows the displacement (x) - time (t) graph of a particle moving on the x-axis. Choose the correct statement. (a) The particle is at rest. (b) The velocity of particle increases up to time \[{{t}_{0}}\]and then increases. (c) The velocity of particle increases up to time \[{{t}_{0}}\] and then becomes constant. (d) The particle moves at a constant velocity up to a time \[{{t}_{0}}\], and then stops.

Answer:

(d) The displacement-time graph is a straight line inclined to time axis up to time \[{{t}_{0}}\], indicates a uniform velocity. After time \[{{t}_{0}}\], the displacement-time graph is a straight line parallel to time axis which indicates that the particle is at rest.