Answer :
Answer:
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.
