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Sonu walked 25 m towards south and then took a left turn and walked 45 m. Again he took a left turn and walked 25 m. Finally he turned to his right and walked 20 m and stopped. How far and in which direction is Sonu from starting point?
ScanSolve AI Answer
Answer
Step-by-step solution
3 stepsDefine the starting point and directions.
Let the starting point be the origin $(0,0)$.
North is in the positive y-direction.
South is in the negative y-direction.
East is in the positive x-direction.
West is in the negative x-direction.Trace Sonu's movements.
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Sonu walked 25 m towards south. Current position: . Direction: South.
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Then took a left turn and walked 45 m. From South, a left turn is East. Movement: 45 m East. Current position: . Direction: East.
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Again he took a left turn and walked 25 m. From East, a left turn is North. Movement: 25 m North. Current position: . Direction: North.
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Finally he turned to his right and walked 20 m. From North, a right turn is East. Movement: 20 m East. Current position: . Direction: East.
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Determine the final distance and direction from the starting point.
The final position is .
The starting point was .
The distance from the starting point is the magnitude of the displacement vector from to .Since the final position is , which is along the positive x-axis relative to the origin, the direction is East.
Sonu is from the starting point.
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