1) 3 miles/Hour
The speed is defined as the distance covered divided by the time taken:
[tex]v=\frac{d}{t}[/tex]
where
d = 1.5 mi is the distance
t = 0.5 h is the time taken
Substituting,
[tex]v=\frac{1.5}{0.5}=3 mi/h[/tex]
2) 1.34 m/s south
Velocity, instead, is a vector, so it has both a magnitude and a direction. We have:
[tex]d=1.5 mi \cdot 1609 m/mi = 2414 m[/tex] is the displacement in meters
[tex]t=0.5 h \cdot 3600 s/h =1800 s[/tex] is the time taken in seconds
Substituting,
[tex]v=\frac{2414 m}{1800 s}=1.34 m/s[/tex]
And the direction of the velocity is the same as the displacement, so it is south.
