119k views
0 votes
"Ms. Dorbeck's is playing tag with his son in the backyard. He runs 10 m south, 3 m east, and 10 m north before catching him. What is Ms.Dorbeck's distance? (include units)"

User StarPinkER
by
7.7k points

1 Answer

4 votes

Final answer:

Ms. Dorbeck's distance is 0 m north and 3 m east.

Step-by-step explanation:

To calculate Ms. Dorbeck's distance, we need to find the net displacement. We can break down her movements into north and east components. Ms. Dorbeck runs 10 m south, which means her north component is -10 m. Then she runs 3 m east, so her east component is 3 m.

Finally, she runs 10 m north, which means her north component is +10 m. To find the net displacement, we add up the north and east components: -10 m + 10 m = 0 m for the north component, and 3 m for the east component. Therefore, Ms. Dorbeck's distance is 0 m north and 3 m east.

User Anneliese
by
6.8k points