
How can I calculate the magnitude of displacement?
Answer
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Hint: In this question we will first study the basic definition of displacement and also, we will see the mathematical expression for displacement. Further, we will use a problem to find the magnitude of displacement; this will help us to understand more clearly. Also, we will see the basics of equations of motion.
Formula used:
Complete answer:
As we know displacement can be defined as the shortest distance between starting and final point which prefers a straight-line path over any curved path of an object or body.
Let us, suppose a body is moving in two different directions x and y, then the resultant displacement will be given as:
Here, this gives the shortcut paths for the given original paths.
We also, have expression for displacement from the equation of motion as:
Here, u is initial velocity of the object or body, v is the final velocity of the object or the body, a is the acceleration of the object or body and t is the time taken by the object or the body.
Now, we will take an example where we will find the magnitude of the displacement.
Problem: the path distance from the park to a shop is 5 m west and then 4 m south. A builder wants to build a short distance path for it. Find the displacement length of the shortest path.
Formula used:
Complete answer:
As we know displacement can be defined as the shortest distance between starting and final point which prefers a straight-line path over any curved path of an object or body.
Let us, suppose a body is moving in two different directions x and y, then the resultant displacement will be given as:
Here, this gives the shortcut paths for the given original paths.
We also, have expression for displacement from the equation of motion as:
Here, u is initial velocity of the object or body, v is the final velocity of the object or the body, a is the acceleration of the object or body and t is the time taken by the object or the body.
Now, we will take an example where we will find the magnitude of the displacement.
Problem: the path distance from the park to a shop is 5 m west and then 4 m south. A builder wants to build a short distance path for it. Find the displacement length of the shortest path.

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