A camper kayaks 16km east from a camoing site, stops, and then paddles 23km west. What is the camper's final position with respect to the campsite?
I need to solve this problem using the GRASS method. pls help me.
To solve this problem using the GRASS method, you need to understand that GRASS stands for Given, Required, Analyze, Solve, and Solution. Let's break down the problem using this approach:
Given:
- The camper kayaks 16km east from a camping site.
- The camper then paddles 23km west.
Required:
- The final position of the camper with respect to the campsite.
Analyze:
- The camper starts at the campsite.
- Kayaking 16km east means the camper moves in the positive direction along the east axis.
- Paddling 23km west means the camper moves in the negative direction along the east axis.
Solve:
To determine the camper's final position, we can sum up the displacements from each movement. The displacement due to kayaking east is positive, and the displacement due to paddling west is negative.
1. Start at position 0.
2. Kayaking 16km east means adding 16km to the position.
3. Paddling 23km west means subtracting 23km from the position.
Solution:
Starting at position 0, after kayaking 16km east (positive displacement) and paddling 23km west (negative displacement), the formula to calculate the final position is: Position = 0 + 16 - 23.
By evaluating the formula, the final position of the camper is -7km west from the campsite.
Therefore, the camper's final position with respect to the campsite is 7km west.