Answer

• Distance = 14 km
• Displacement = 10 km

Given

• A person MOVES 8 km in a straight line towards EAST and then move 6 km to the south

To FIND

• Distance
• Displacement

Diagram

-  -  -  -  -  -  -  -  -  -  -  -  -  - >     ( 8 km )

                                          |

                                          |

                                          |

                                          ^    ( 6 km )

                                          |

                                          |

                                          |

Concept Used

Distance : It is defined as how much ground occupied by an object

Displacement : It is defined as the shortest distance b/w two points i.e., initial and final points .

Solution

Distance = 8 kn towards east + 6 km towards south

⇒ Distance = 8 km + 6 km

⇒ Distance , D = 14 km

From diagram ,

Displacement will be find by using PYTHAGORAS theorem .

LET displacement be d .

⇒ d² = 8² + 6²

⇒ d² = 64 + 36

⇒ d² = 100

⇒ d = 10 km

So ,

Distance , D = 14 km

Displacement , d = 10 km