A man walked 6 km towards North then 10 km towards South. What is his final position with respect to his initial position?
[3 Marks]
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Solution
The north direction can be taken as positive and south as negative.
(0.5 marks)
Then walking 6 km towards north can be taken as +6 km.
(0.5 marks)
Walking 10 km towards south can be taken as -10 km.
(0.5 marks)
The final position = +6 - 10 = -4 km.
(0.5 marks)
Here, the '-' sign shows that he is in south direction with respect to his initial position. ⇒ The man's final position is 4 km to the south with respect to his initial position.
(1 mark)