A graph of x versus t is shown in Fig. 3.3. Choose correct alternatives from below.

Option (a) is correct because at t=0, the slope of the x-t graph which represents velocity is zero.

Option (b) is incorrect because slope is negative which implies that velocity is decreasing which in turn means that the object is retarding/decelerating/negatively accelerating, thus, a < 0.

Option (c) is correct because the slope of the graph is zero again over here.

Option (d) is incorrect because the total displacement between A and D is negative which means the average velocity is negative.

Option (e) is correct because, the slope of the graph at D is steeper as compared to that at E.

(Note that the option (e) says speed and not velocity, so the sign of the slope is not important only the magnitude is important.)