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In this problem, you are asked to determine how much higher or lower you are at the end of your hike compared to your starting point.

The vertical displacement for both the morning and afternoon hikes is provided. We need to add these vertical displacements to find the overall change in height:

- In the morning, the vertical displacement is +200 m (upward).
- In the afternoon, the vertical displacement is -500 m (downward).

The total vertical displacement can be calculated by summing these values:

\[
\Delta y = 200 \, \text{m} + (-500 \, \text{m}) = -300 \, \text{m}.
\]

This means that at the end of the hike, you are **300 meters lower** than your starting point.

Would you like more details on how the calculation was done or an explanation of the concepts involved?

Here are 5 related questions you could explore:
1. How would you calculate the total horizontal displacement?
2. If the vertical displacement had been zero, what would your final altitude be?
3. What is the significance of combining vectors in different directions (horizontal vs. vertical)?
4. How would you calculate the total distance covered during the hike, including both horizontal and vertical displacements?
5. How could you graphically represent the displacements using vector diagrams?

**Tip:** When dealing with displacements in multiple directions, it helps to separate components (horizontal and vertical) and calculate them independently before combining them.

At the end of the hike, how much higher or lower are you compared to your starting point?

Learn how to calculate the overall vertical displacement during a hike using vector addition. The problem involves combining morning and afternoon vertical displacements to determine the total change in height. Ideal for students in Grades 9-12.

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