Question

A car moves 8 km due east from A to B and then 6 km due north from B to C . Find the actual distance travelled by the car and displacement.

Answer 1

Answer: I think it will travel 14 km

Answer 2

Given,

The car moves 8 kilometres in east direction,from A to B.

Then,the car moves 6 kilometres in north direction,from B to C.

Solution,

For calculating the total travelled distance,we have to calculate the displacement from the starting point of the journey or simply the distance between point A point C.

• Now, the north and east direction are perpendicular with each other,so we can solve this problem by applying the Pythagoras theorem.

• In the context of Pythagoras theorem and a right angled triangle,

AB = Base = 8 kilometres

BC = Height = 6 kilometres

CA = Hypotenuse = Displacement

• So, putting the given values we will get the following mathematical equation :

(CA)²= (AB)²+(BC)²

(CA)²= (8)²+(6)²

(CA)²= 64+16

(CA)²= 100

CA = 10

Hence,the actual travelled distance is 10 kilometres.