You are driving to a party. You travel 10 miles north and then 5 miles west. What was your distance traveled during the trip? What was your displacement during the trip (magnitude and direction)?

Distance of the trip is 15 miles.

Magnitude and direction of displacement of trip is 11.18 miles and north-west respectively.

Explanation:

As shown in the figure, let A be the point from where you started driving. From point A you went to the point B in North and after that from point B you went to the point C in West.

We know that from the figure, AB = 10 miles and BC = 5 miles.

Thus, the distance traveled by you = AB + BC

                                                          = ( 10 + 5 ) miles = 15 miles

Displacement is defined as the distance between initial and final positions. In your case, displacement of trip is equal to AC.

Applying pythagoras theorem in triangle ABC,

(AC)² = (AB)² + (BC)²

(AC)² = (10)² + (5)²

(AC)² = 100 + 25

(AC)² = 125

AC = √125

AC = 11.18 miles

Magnitude of displacement of trip = AC = 11.18 miles

Direction of displacement of trip is North-West.

answer would be d.) i hope this

explanation: