Question

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

Answer 1

$R_x = A_x + B_x + C_x$

$A_x$ is negative as the vector is in third quadrant.

$B_x$ is positive as it points in the first quadrant.

$C_x$ is positive as it points in the fourth quadrant.

Hence,

$R_x = -1.6 + 3.9 + 1.2$

$R_x = 3.5$ km

$R_y = A_y + B_y + C_y$

$A_y$ is negative as it is in third quadrant.

$B_y$ is positive as it is in first quadrant.

$C_y$ is negative as it is in fourth quadrant.

$R_y = -2.8 + 6.4 - 0.7$

$R_y = 2.9$ km

Answer 2

Rx= 3.5 km

Ry= 2.9 km