Answer
(i)Velocity is increasing in the interval (a)$[0,0.5]$.
(ii)Velocity is decreasing in the interval (b)$[2.5,3]$.
(iii)Velocity is negative in the interval (c)$[1.5,2]$.
Work Step by Step
Slope of the graph at a given time is equal to the rate of change of distance with respect to the time.
And also rate of change of distance with respect to the time is velocity.
Thus, slope at a given time is equal to the velocity.
Slope is increasing in the interval (a)$[0,0.5]$.
Thus, (i)Velocity is also increasing in the interval (a)$[0,0.5]$.
Slope is decreasing in the interval (b)$[2.5,3]$.
Thus, (ii)Velocity is also decreasing in the interval (b)$[2.5,3]$.
Slope is negative in the interval (c)$[1.5,2]$.
Thus, (iii)Velocity is negative in the interval (c)$[1.5,2]$.
