Question

Urgent!!

Correct answer will be appreciated.

A boy travels 12km Eastwards to a point B, and then 5km southwards to another point C. Calculate the difference between the magnitude of displacement of the boy and the distance travelled by him.​

Answer 1

The answer for that question is 4

Answer 2

Answer:
`\Large\boxed{4}`

Concept:

Displacement is the length of the shortest path from the initial point to the final point. This means the length between the initial point and the final point, regardless of the path in between

Distance is the sum of the total length of the path traveled by an object from one place to another.

Solve:

Find the magnitude of displacement

Given information

AB = 12 km Eastward

BC = 5 km Southward

Refer to the attachment below for a graphical understanding

Given the formula for displacement

Since it is a right triangle, and we are trying to determine the value of AC, we can use the Pythagorean theorem

AC² = AB² + BC²

Substitute values into the given formula

AC² = (12)² + (5)²

Simplify the exponents

AC² = 144 + 25

Simplify by addition

AC² = 169

Square root both sides of the equation

√AC² = √169

AC = 13

Find the magnitude of the distance

Given the formula for the distance

Distance = AB + BC

Substitute values into the given formula

Distance = (12) + (5)

Simplify by addition

Distance = 17

Find the difference between the values

Given expression

Distance - Displacement (AC)

Calculated information

Distance = 17

AC = 13

Substitute values into the expression

(17) - (13)

Simplify by subtraction

`\Large\boxed{4}`

Hope this helps!! :)

Please let me know if you have any questions