a body moves 3m due to east and 4m due north calculate the distance and displacement
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Answer:
The distance = 7 cm and displacement = 5 cm
Explanation:
Distance is the total length covered by a body. its unit is meter (m).
Displacement is measured as the shortest length between the initial and final positions of the body. Its unit is also meter (m).
∴ Distance = Total Length = 3 + 4 = 7 m
To find the displacement consider a right angle triangle as shown in the attachment.
Using the Pythagoras theorem, we can calculate the displacement by calculating the length of the line AB. Because B is the initial and A is the final position of the body.
AB² = BC² + AC²
AB = √(BC² + AC²)
AB = √(3² + 4²)
AB = √25
AB = 5
∴ The dispalcement = 5m
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