Question

which vector diagram represents the greatest magnitude of displacement for an object​

Answer 1

The vector diagram (b) represents greatest magnitude of displacement for an object. The displacement in (b) is $\sqrt{2} =1.414$.

What is displacement?

• Displacement is vector quantity which tells about the shortest path taken by the object from its start to end point.
• It has information about magnitude as well as the direction of motion of object.
• It is the straight line joining initial point and final point of motion.

In figure A:

The displacement is a straight line of 1m in upward direction.

In figure B:

The displacement is the hypotenuse of length calculated by $\sqrt{1^{2} +1^{2} } =\sqrt{2}$m. The direction of displacement is in north-west.

In figure C:

The displacement is a straight line of 1m in left direction.

In figure D:

Displacement is zero because there is no change in the object's final and initial point.

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