Q 49 A man travels a distance of 1.5m towards East, then 2.0m towards South and finally 4.5m towards East.

i) What is the total distance traveled?ii) What is his total displacement?

Please find this answer

Let the man's journey start from A and end at D. Thus the displacement is AD which is hypotenuse of

distance traveled:- the sum of all traveled path
                                = 1.5m + 2m + 4.5m
                                = 8 m

displacement = (think that diagram as rectangle)
                            length= 1.5 + 4.5 = 6 m
                            breadth= 2m
                            diagonal = ​​√ lenght² + breath^{2
                                                           =} √​ 36 + 4
                                                           = √​40 (ans)