Question

if a body travels 8 m from a to b then it turns to a right angle from a b to c 6m .Find the distance traveled and the displacement

Answer 1

distance=8+6=14m
and displacement is√( 8²+6²)=√100=10

Answer 2

distance travelled = distance from a to b + distance from c to d


=> 8m +6m => 14 m


displacement is the shortest distance between initial point and final point .

=> therefore , we can draw a hypotenuse from "a" to "c"

=> using Pythagoras theorem ,

sum of square of arms of a triangle = hypotenuse²

=> here ,
(distance from a to b)² + (distance from b to c)² = displacement²

=>(8)²+(6)² = displacement ²

=> 64+36 = displacement²

=> 100m² = displacement ²

=> √100m² = displacement

=> 10 m = displacement



hope this helps