Question

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)​

Answer 1

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 2

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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