2.A person walks along a circular path of radius 10m.
a) He starts from a point A on the circular track and reaches A
Distance =
Displacement =
b) He starts from A and reaches B which is diametrically opposite to A
Distance =
Displacement =
Answers
Explanation:
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Answer:
a) Distance = 62.85m and Displacement = 0m
b) Distance = 31.42m and Displacement = 20m
Explanation:
Solution :-
1) A person starts from a point A on the circular track and reaches A(radius of the circular path = 10m) :-
Find :- 1) Distance 2) Displacement
Given , radius of the circular path(r) = 10m
As the man travelled one complete rotation :-
Hence, Distance travelled = Circumference of the Circle
[Since , ]
Distance travelled by the man =
=
= 62.85m
As the man started from the point A and ends at the same point A, Hence the Displacement of the object = 0m
[Since, If the object started from the point and stopped at the same point then the displacement of the object = 0.]
a) Hence , Distance = 62.85m and Displacement = 0m
b) A man starts from A and Reaches B where B is diametrically opposite to A(radius of the circular path = 10m)
As the man had only travelled half revolution :-
Distance travelled by the man = circumference of Semi-circle :-
Circumference of the semi-circle =
= 31.42 m
Displacement of the man :-
As the man had only travelled half revolution :-
Displacement of the man = Diameter of circular path
Diameter of the circular path = 2 Radius of the circular path
= 2 10m
= 20m
Hence, Distance of the man = 31.42m and Displacement of the man = 20m