Explanation:
To find the final velocity in unit vector notation with respect to the four universal directions, we can break down the velocities into their north, east, south, and west components and then add them up.
Given:
- Initial velocity in the north = 10 m/s
- Velocity towards the east = 5 m/s
- Velocity in the south = 2.5 m/s
Let's break down these velocities into their components:
- Velocity in the north = 10 m/s in the positive y-direction
- Velocity towards the east = 5 m/s in the positive x-direction
- Velocity in the south = 2.5 m/s in the negative y-direction
Now, we can calculate the final velocity by adding up the components:
Final velocity in unit vector notation = (5 - 0)i + (-10 - 2.5)j
Final velocity in unit vector notation = 5i - 12.5j
Therefore, the final velocity in unit vector notation with respect to the four universal directions is 5i - 12.5j.
