Christina drives his moped 7 kilometers North. She stops for lunch and then drives 5 kilometers East. What distance did she cover? Please include the number and unit. 8.6 km What was the magnitude of her displacement? Please include the number and unit. What was the direction of her displacement? Please abbrieviate (N, S, E, W, etc.)

Respuesta :

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.