Question

9. A body travels a distance of 3 km towards East, then 4 km towards North and finally 9 km
towards East :
(7) What is the total distance travelled ?
(ii) What is the resultant displacement ?​

Answer 1

Answer:

the total distance is 2 km

Answer 2

(i) What is the total distance travelled ?

Answer :- The total distance travelled is 16 km

(ii) What is the resultant displacement ?

Answer :- The resultant displacement is 12.6 km

Step-by-step explanation:

GIVEN

3 km towards East

4 km towards North

9 km towards East

___________________________

TO FIND

(i) What is the total distance travelled ?

(ii) What is the resultant displacement ?

___________________________

(i) What is the total distance travelled ?

We know that,

Total Distance Travelled = Distance travelled towards east + Distance travelled towards North + Distance travelled towards east

Total Distance Travelled = 3 + 4 + 9

Total Distance Travelled = 16

Total Distance Travelled = 16 km

The total distance travelled is 16 km

___________________________

(ii) What is the resultant displacement ?

We know that,

Distance Travelled Towards East = 3 km + 9 km = 12 km

Distance Travelled Towards North = 4 km

Resultant Displacement = √ Distance Travelled Towards East² + Distance Travelled Towards North²

Resultant Displacement = √ 12² + 4²

Resultant Displacement = √ 144 + 16

Resultant Displacement = √ 160

Resultant Displacement = 12.6

Resultant Displacement = 12.6 km

The resultant displacement is 12.6 km