a body is moving in a square or side 10m calculate the distance and displacement in following case (a) from A to A (b) from A to C (c) from A to A( ABCDA)
Answers
Answer:
(a) Distance travelled from A to B = 10 m
Displacement from A to B = 10 m
Therefore distance and displacement are equal if the object travels in the same straight path
(b) Distance travelled from A to C = AB + BC
= 10 + 10
= 20 m
Displacement from A to C = AC = \displaystyle 10\sqrt{2} m.
Therefore distance travelled is always more than the displacement if there is a change in direction of motion
(c) Distance travelled from A, back to A = AB + BC + CD + DA
= 10 + 10 + 10 + 10 = 40 m
Displacement from A, back to A = 0 m
This is because the shortest distance between initial position (A) and final position (A) is zero.
Therefore the displacement of a moving object may be zero but distance travelled cannot be zero.
Answer:
The Answers are listed below:-
Explanation:
(a) Distance traveled from A to B = 10 m
Transfer from A to B = 10 m
So the distance and displacement are the same as when the object is moving in the same straight path
(b) Distance traveled from A to C = AB + BC
= 10 + 10
= 20 m
Transfer from A to C = AC = \ displaystyle 10 \ sqrt {2} m.
The distance traveled is therefore always greater than the evacuation if the direction of movement changes.
(c) Distance traveled from A back to A = AB + BC + CD + D
= 10 + 10 + 10 + 10 = 40 min
Transfer from A, back to A = 0 m
This is because the shortest distance between the starting position (A) and the last position (A) is zero.
Thus, the displacement of a moving object can be zero, but the distance traveled cannot be zero.
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