Answer:
She covers the distance is 12 km.
The magnitude of displacement is 8.6 km.
The direction of her displacement is north east.
Explanation:
Given that,
Christina drives his moped 7 kilometers North and stop for lunch and then drive 5 km east.
We need to calculate the total distance
Using formula of distance
[tex]d=d_{1}+d_{2}[/tex]
Put the value into the formula
[tex]d=7+5[/tex]
[tex]d=12\ km[/tex]
We need to calculate the magnitude of displacement
Using formula of displacement
[tex]D=xi+yj[/tex]
[tex]D=5i+7j[/tex]
[tex]D=\sqrt{5^2+7^2}[/tex]
[tex]D= 8.6\ km[/tex]
The direction of her displacement is north east.
Hence, She covers the distance is 12 km.
The magnitude of displacement is 8.6 km.
The direction of her displacement is north east.