Question

An ant starts at -0.78 m and moves 3.9 m left, 2.2 m right, 8.4 m left, and 7.1 m right. If the positive x-axis is to the right, what is the ant's final position?

Answer 1

The ant's final position is -3.78 meters.

Step-by-step explanation:

The ant's final position can be calculated by adding up the total displacement resulting from its movements. To do this, we need to consider the directions and distances of each movement:

1. Start at -0.78 m
2. Move 3.9 m left (-3.9 m)
3. Move 2.2 m right (+2.2 m)
4. Move 8.4 m left (-8.4 m)
5. Move 7.1 m right (+7.1 m)

To find the ant's final position, we can add up the displacements: -0.78 m + (-3.9 m) + 2.2 m + (-8.4 m) + 7.1 m = -3.78 m

Therefore, the ant's final position is -3.78 meters.