The resultant displacement is 22.4 m at [tex]29.5^{\circ}[/tex] north of east
Explanation:
The man walks:
- First, 20 km north
- Then, 10 km east
The resultant displacement is the vector connecting the initial position of motion to the final position. We notice here that the two displacements of the man are in perpendicular directions: this means that they form the sides of a right triangle, and the hypothenuse of the triangle is exactly the resultant displacement.
Therefore, we can find the resultant displacement by applying Pythagorean's theorem. We find:
[tex]d=\sqrt{d_x^2+d_y^2}=\sqrt{(10)^2+(20)^2}=22.4 m[/tex]
And the direction of the displacement is given by
[tex]\theta = tan^{-1} (\frac{d_y}{d_x})=tan^{-1} (\frac{10}{20})=29.5^{\circ}[/tex]
measured as north of east.
Learn more about displacement:
brainly.com/question/3969582
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