Answer
(a) Distance $=2.65mi$
(b) Displacement: $\Delta x=-0.75mi$
Work Step by Step
(a)
- from the park to my friend's house: $0.60mi+0.35mi=0.95mi$
- from my friend's house to my house: $0.35mi+0.60mi+0.75mi=1.70mi$
Distance $=0.95mi+1.70mi=2.65mi$
(b) My house is the origin ($x=0$) of the x axis.
- initial position: park. So, $x_{i}=0.75mi$
- final position: my house. So, $x_{f}=0$
Displacement: $\Delta x=x_{f}-x_{i}=0-0.75mi=-0.75mi$