Question

vinu drives 100 kms west and he returns 180 kms along the same path eastwards now he drives 60 km southwards calculate his displacement
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Answer 1

Answer:

Explanation:

Distance travelled in west =100km

Distance travelled in east =180km

Displacement = (180-100)km=80km

Distance travelled in south =60km

Total displacement=√80^2+60^2 =√6400+3600 = √10000=100km

Answer 2

The net displacement of Vinu is 100 kms.

Explanation:

According to the given information, Vinu initially drives a distance 100 kms west. Next, given that, Vinu returns along the same path in an eastward direction.

This means, the displacement covered by Vinu until now is equal to,

(180 - 100) kms = 80 kms.

Now, according to the given information, Vinu drives 60 kms. southwards.

If we draw Vinu's journey in the form of a triangle the base of the triangle will have a value of 80 kms. and the perpendicular of the triangle will have a measure of 60 kms. Also, the triangle is a right angled triangle.

Now, Pythagoras theorem states that, in a right angled triangle,

$hypotenuse^{2} = base^{2} + perpendicular^{2}$

Therefore, putting the values, we get,

$hypotenuse^{2} = 80^{2} + 60^{2}\\Or, hypotenuse^{2} = 6400 + 3600\\Or, hypotenuse^{2} =10000\\Or hypotenuse = \sqrt{10000}= 100$

Thus, the net displacement of Vinu is 100 kms.

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