Question: A body is moving in a square of side 10 m. Calculate distance and displacement in the following
cases:
(a)
(b)
(c)
From A to B
From A to C
ABCDA
Answers
Answer:
The distance travelled by a body is the actual length of the path covered by a moving body irrespective of the direction in which the body travels
(b) It is a scalar quantity therefore it has only magnitude
Displacement
When a body moves from one point to another, the shortest distance between the initial position and final position of the body, along with direction, is known as displacement.
) 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.
Step-by-step explanation:
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