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Question: A person goes 10 km north and 20 km east. What will be displacement from initial point...

A person goes 10 km north and 20 km east. What will be displacement from initial point

A

22.36 km

B

2 km

C

5 km

D

20 km

Answer

22.36 km

Explanation

Solution

AC=AB+BC\overset{\rightarrow}{AC} = \overset{\rightarrow}{AB} + \overset{\rightarrow}{BC}

AC=(AB)2+(BC)2AC = \sqrt{(AB)^{2} + (BC)^{2}}

=(10)2+(20)2= \sqrt{(10)^{2} + (20)^{2}}

=100+400=500=22.36km= \sqrt{100 + 400} = \sqrt{500} = 22.36km