The body moved from a point with coordinates x1 = 100 cm, y1 = 51 cm to a point with coordinates x2 = 98 cm, y2 = 49 cm.

| September 7, 2021 | education

The body moved from a point with coordinates x1 = 100 cm, y1 = 51 cm to a point with coordinates x2 = 98 cm, y2 = 49 cm. Determine the magnitude of the displacement vector and the angle that this vector makes with the Ox axis.

Task data: coordinates of the starting point (x1 = 100 cm; y1 = 51 cm); coordinates of the second point (x2 = 98 cm; y2 = 49 cm).

1) The magnitude (length) of the displacement vector: S = √ ((x2 – x1) ^ 2 + (y2 – y1) ^ 2) = √ ((98 – 100) ^ 2 + (49 – 51) ^ 2) = 2.828 m.

2) The angle of inclination of the found displacement vector to the horizontal axis OX: arctan (y / x) = arctan ((y2 – y1) / (x2 – x1)) = arctan ((-2) / (-2)) = arctan 1 = 45º.

Answer: The length of the displacement vector is 2.828 m, the displacement vector is directed at an angle of 45º to the OX axis.



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