Question

A student goes 4m to east and then turns at right and travels 3m distance. the displacement of the boy is

Answer 1

We use the pythagoras theorem to get the displacement.
 The boy after going 4m to east goes 3m to south as he turns right.
 So,4*4+3*3=25
Square Root of 25 = 5
The displacement of the boy is 5m

Answer 2

Answer:

The displacement of the boy is $5cm$.

Explanation:

• Displacement exists the straight line distance in a certain direction.

By using Pythagoras theorem

• Pythagoras' theorem states that for all right-angled triangles, 'The square on the hypotenuse is equal to the sum of the squares on the other two sides'. The hypotenuse exists on the longest side and it's still opposite the right angle.

${ Hypotenuse}^{2}= side ^{2}+ side^{2}$

Hypotenuse $=$ displacement

$\Rightarrow D^{2}=4^{2}+3^{2}$

$D^{2}=16+9$

$D^{2}=25$

$D=5$

Displacement $=5 \mathrm{~cm}$

Therefore, the displacement of the boy is $5cm$.

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