Leila walks south for 20m and then west for 20m. What is her resultant displacement graphically?
D = sqrt(20^2+20^2) = 28.3 m.
Tan Ar = 20/20 = 1.
Ar = 45o
A = 45 + 180 = 225o. CCW from +x-axis.
To determine Leila's resultant displacement graphically, we need to understand that displacement is a vector quantity that includes both magnitude (distance) and direction.
Let's start by establishing a coordinate system. Assume that Leila's starting point is the origin (0,0) of the coordinate plane.
Leila walks south for 20m, so her position changes to (0, -20). From this new position, she walks west for 20m, resulting in a new position (-20, -20).
To graphically determine her resultant displacement, we draw an arrow from the origin (0,0) to her final position (-20, -20). This arrow represents both the magnitude and direction of her displacement.
If you use a graphic software or drawing application, you can easily plot these points and draw the arrow to visualize Leila's resultant displacement.