The displacement is 12.3 m at an angle (measured as counterclockwise from east direction)
Explanation:
The displacement of an object is a vector connecting the initial position to the final position of motion of the object.
In this problem, the motion consists of three parts:
3.0 m east
2.5 m north
15 m west
We define the positive x-axis as the east direction and the positive y-axis as the north direction. Therefore, the components of the displacement along the x- and y- direction are:
Therefore, the magnitude of the displacement is:
And the angle is given by:
However, the actual direction is north-west, therefore the real angle is
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