A distance of 5 m towards the east then turn left and travel 12:00 to of the note what is it total displacement what is the total displacement what is the total distance travelled by the person
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[ Have a look at the attachment, to understand it more clearly ]
Let the starting point be x,
- The person moves 5 m in east and stops at point say y.
- He turns left in the north and travels 12 m and stops at the point say z.
Now, obviously the total distance covered will be;
= Distance(x + y) + Distance(y + z)
= 5 + 12
= 17 m
Hence, the total distabce covered be 17 m.
From the diagram, as the situation is in the form of a right angled triangle, we can use the pythagoras theoram, likewise;
= H² = P² + B²
= xz = yz + xy
= xz² = 12² + 5²
= xz² = 144 + 25
= xz = √196
= xz = 13 m
Therefore, the displacement will be 13 m.
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