Question

draw a picture of the path and use to answer questions 12 & 13. an athlete walks 7 meters east, 10 meters south, 2 meters west, and finally 8 meters north.

Explanation:

Step1: Set up a coordinate - like system

Assume starting point as the origin (0,0). East is along the positive x - axis, North is along the positive y - axis.

Step2: Calculate the net displacement in the x - direction

The displacement in the x - direction: $x=7 + 10-2=15$ meters (7 meters East, 10 meters East and 2 meters West).

Step3: Calculate the net displacement in the y - direction

The displacement in the y - direction: $y=- 10 + 8=-2$ meters (10 meters South and 8 meters North).

Step4: Draw the path

On a graph paper, start at the origin. Move 7 units to the right (East), then 10 more units to the right, then 10 units down (South), then 2 units to the left (West), and finally 8 units up (North).

Answer:

The path can be drawn on a graph paper following the above - described steps with net x - displacement of 15 meters and net y - displacement of - 2 meters.