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

Rx= 3.5 km

Ry= 2.9 km

Answer 2

`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