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johnkellock

C) 28 km

Magnitude = √(20² + 20²)
= 26.28km

Answer:

The magnitude of its displacement of the car is 28 km.                

Explanation:

It is given that,

Distance covered by the car due west, \(d_1=20\ km\)

Distance covered by the car due south, \(d_2=20\ km\)

We need to find the magnitude of its displacement. Let it is given by d. We know that displacement of an object is equivalent to the shortest path traveled. It can be calculated as :

\(d=\sqrt{d_1^2+d_2^2}\)

\(d=\sqrt{(20)^2+(20)^2}\)

d = 28.28 km

or

d = 28 km

So, the magnitude of its displacement is 20 km. Hence, the correct option is  (c).

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