1)

 A particle covers a distance from A to B over a period of time; the distance versus time plot is shown below. Then which of the following is true for the motion of the particle?

1572021592_g2.PNG


A) Both average speed and instantaneous speed are always zero

B) Average speed is always non-zero but instantaneous speed can be zero

C) Instantaneous speed is always non-zero but average speed can be zero

D) Both average speed and instantaneous speed are always non-zero

Answer:

Option B

Explanation:

 The distance versus time plot for movement of a particle from A and B is shown  in the diagram

 1572021835_g3.PNG

 From graph , it is slope of distance-time graph for position A to C and D to B is always positive, therefore both the average speed and instantaneous speed are not always zero, therefore, option (a) is not correct.

 Average velocity= Total displacement from A to B / Total time interval

 Since, total displacement depends on straight distance between initial and final points, hence, the displacement between A to B always non zero.  therefore the average speed is always non zero.

 Since, no distance is travelled between point C to D is zero. Hence, instantaneous speed at every instant between C to D is zero.

Hence, option (b)  is correct and option (c) and (d) are incorrect.