SOLUTION: Aeroplane A has a velocity of (-10i + 10j). To a passenger on aeroplane A, an aeroplane B appears to be travelling with a velocity of (16i + 4j). Find the velocity of the aeroplane

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Question 1178659: Aeroplane A has a velocity of (-10i + 10j). To a passenger on aeroplane A, an aeroplane B appears to be travelling with a velocity of (16i + 4j). Find the velocity of the aeroplane B.
Answer by CPhill(1959) About Me  (Show Source):
You can put this solution on YOUR website!
Let's solve this step-by-step:
**Understanding Relative Velocity:**
* **Velocity of A (Va):** (-10i + 10j)
* **Velocity of B relative to A (Vb/a):** (16i + 4j)
* **Velocity of B (Vb):** We need to find this.
The formula for relative velocity is:
Vb/a = Vb - Va
**Solving for Vb:**
1. **Rearrange the formula:**
* Vb = Vb/a + Va
2. **Substitute the given values:**
* Vb = (16i + 4j) + (-10i + 10j)
3. **Combine like terms:**
* Vb = (16i - 10i) + (4j + 10j)
* Vb = 6i + 14j
**Therefore, the velocity of aeroplane B is (6i + 14j).**