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Question

# A cyclist follows the path from A to E as shown in the given diagram. Calculate the distance and displacement with 1 unit=2 km.

A
10 km and 102 km
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B
102 km and 10 km
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C
210 km and 20 km
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D
20 km and 210 km
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Solution

## The correct option is D 20 km and 2√10 kmTo calculate the distance just add all the lengths of the line segments. So, total distance is, AB + BC + CD + DE = 8+4+6+2=20 km To find the displacement, we use the Pythagoras theorem. The shortest path to reach E from A is a line joining A and E. So, AE = √22+62 = √40 = 2√10 km

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