Answer:
i. Distance covered is 12 kilometres.
ii. Her displacement is 8.6 kilometres.
Explanation:
Distance is a span of length between two points, while displacement is the distance moved in a specified direction. Distance is a scalar quantity, while displacement is a vector.
She drives 7 kilometres north, then 5 kilometres east later.
i. Distance covered = 5 + 7
= 12
Her distance covered is 12 kilometres.
ii. To determine her displacement, apply the Pythagoras rule to the sketch of her journey.
[tex]x^{2}[/tex] = [tex]5^{2}[/tex] + [tex]7^{2}[/tex]
= 25 + 49
= 74
x = [tex]\sqrt{74}[/tex]
= 8.6023
Thus, her displacement is 8.6 kilometres.
