Chapter 3 - Section 3.7 - Rates of Change in the Natural and Social Sciences - 3.7 Exercises - Page 235: 5

(a) The particle is speeding up in the intervals $(0,1)$ and $(2,3)$ The particle is slowing down in the interval $(1,2)$ (b) The particle is speeding up in the intervals $(1,2)$ and $(3,4)$ The particle is slowing down in the intervals $(0,1)$ and $(2,3)$

When we observe a velocity versus time graph, we can see that the object is speeding up if the velocity is moving away from 0 on the vertical axis. The object is slowing down if the velocity is moving toward 0 on the vertical axis. (a) The particle is speeding up in the intervals $(0,1)$ and $(2,3)$ The particle is slowing down in the interval $(1,2)$ (b) The particle is speeding up in the intervals $(1,2)$ and $(3,4)$ The particle is slowing down in the intervals $(0,1)$ and $(2,3)$