Answer:
a) 1074.27 km
b) [tex]64.06^{\circ}[/tex]
c) 477.453 km/h
d) 638.22 km/h
Explanation:
From Pythagoras theorem
AC² = AB²+BC²
[tex]AC=\sqrt{AB^2+BC^2}\\\Rightarrow AC=\sqrt{(-470)^2+(-966)^2}\\\Rightarrow AC=1074.27\ km[/tex]
Displacement = 1074.27 km
[tex]tan\theta=\frac{\text{Opposite side}}{\text{Adjacent side}}\\\Rightarrow tan\theta=\frac{966}{470}\\\Rightarrow \theta=tan^{-1}\frac{-966}{-470}\\\Rightarrow \theta=64.06^{\circ}[/tex]
Direction = [tex]64.06^{\circ}[/tex]
Average velocity
[tex]v_{av}=\frac{1074.27}{2.25}\\\Rightarrow v_{av}=477.453\ km/h[/tex]
Average velocity = 477.453 km/h
Average speed
[tex]s_{av}=\frac{470+966}{2.25}\\\Rightarrow s_{av}=638.22\ km/h[/tex]
Average speed = 638.22 km/h
