Answer:
Distance = 12 km
Displacement = 8.6 km
Explanation:
Given:
Chanice drives her scooter 7 kilometers North.
Chanice drives 5 kilometers east.
Let 'A' be initial position of Chanice, 'B' be the position when Chanice covered 7 km and 'C' be the final position.
Now, as per question:
AB = 7 km, BC = 5 km.
Therefore, total distance traveled by Chanice is equal to the sum of the distances AB and BC. So,
Total distance = AB + BC = 7 km + 5 km = 12 km
Now, displacement is the difference between the final position and initial position.
Final position is C and initial position is A. So, displacement is AC.
Therefore, displacement = AC
Now, using pythagoras theorem, we can find AC.
[tex]AC^2=AB^2+BC^2\\\\AC^2=7^2+5^2\\\\AC^2=49+25\\\\AC=\sqrt{74}=8.6\ km[/tex]
Therefore, her displacement is 8.6 km.
