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A car travels 20 km South, then turns and travels 30 km East? What is the total displacement?

User Neesh
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1 Answer

5 votes

Answer:

Explanation:36.05 km

Given

First car travels
r_1=20\ km South

then turns and travels
r_2=30\ km east

Suppose south as negative y axis and east as positive x axis

So,
r_1=-20\hat{j}


r_2=30\hat{i}

Displacement is the shortest between initial and final point

Dispalcement
=r=r_1+r_2

Displacement
=-20\hat{j}+30\hat{i}

Displacement
=30\hat{i}-20\hat{j}

Magnitude
=√(30^2+(-20)^2)

Magnitude
=36.05\ km

A car travels 20 km South, then turns and travels 30 km East? What is the total displacement-example-1
User Jfneis
by
4.6k points