A particle moves 3m in positive direction of x axis ,5m making 53 degree with positive direction of x axis and 4 m in positive direction of y axis . what is its displacement ?
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Answer:
Displacement = 10 m
Explanation:
A particle moves 3m in positive direction of x axis
=> Distance in x direction = 3 m
& Distance in y direction = 0 m
Then 5m making 53 degree with positive direction of x axis
=> Distance in x direction = 5Cos53 = 5 * 0.6 = 3 m
& Distance in Y Direction = 5Sin53 = 5 * 0.8 = 4 m
4 m in positive direction of y axis
=> Distance in x direction = 0
& Distance in y direction = 4 m
Total Distance in x direction = 3 + 3 + 0 = 6m
Total Distance in y direction = 0 + 4 + 4 = 8 m
Total Displacement = √6² + 8² = √36 + 64 = √100
= 10 m
Displacement = 10 m
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