Answer
(a) Distance $=1.95mi$
(b) Displacement: $\Delta x=0.75mi$
Work Step by Step
(a)
- from my home to the library: $0.75mi+0.60mi=1.35mi$
- from to library to the park: $0.60mi$
Distance $= 1.35mi+0.60mi=1.95mi$
(b)
- initial position: my home (the origin). So, $x_{i}=0$
- final position: park. So, $x_{f}=0.75mi$
Displacement: $\Delta x=x_{f}-x_{i}=0.75mi-0=0.75mi$