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The image shows the displacement of a motorboat. The data table shows the magnitudes of the components of each displacement vector.

What is the value of Rx?

km

What is the value of Ry?

km

The image shows the displacement of a motorboat The data table shows the magnitudes of the components of each displacement vector What is the value of Rx km Wha class=

Respuesta :

Rx= 3.5 km

Ry= 2.9 km

[tex]R_x = A_x + B_x + C_x[/tex]

[tex]A_x[/tex] is negative as the vector is in third quadrant.

[tex]B_x[/tex] is positive as it points in the first quadrant.

[tex]C_x[/tex] is positive as it points in the fourth quadrant.

Hence,

[tex]R_x = -1.6 + 3.9 + 1.2[/tex]

[tex]R_x = 3.5[/tex] km

[tex]R_y = A_y + B_y + C_y[/tex]

[tex]A_y[/tex] is negative as it is in third quadrant.

[tex]B_y[/tex] is positive as it is in first quadrant.

[tex]C_y[/tex] is negative as it is in fourth quadrant.

[tex]R_y = -2.8 + 6.4 - 0.7[/tex]

[tex]R_y = 2.9[/tex] km

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