# Lesson Worksheet: Relative Velocity Mathematics

In this worksheet, we will practice calculating the relative velocity of a particle with respect to another and calculating the relative velocity vector.

**Q6: **

A submarine fires a torpedo at a target as part of a training exercise. The velocity of the submarine relative to the stationary target is represented by the vector . The velocity of the torpedo relative to the submarine is represented by the vector . What does the vector represent?

- Athe velocity of the torpedo relative to the stationary target
- Bthe velocity of the submarine relative to the torpedo
- Cthe total distance the torpedo travels
- Dthe speed of the submarine
- Ethe speed of the torpedo

**Q7: **

A ship was sailing with a uniform velocity directly toward a port that is 144 km away. A patrol aircraft passed over the ship traveling in the opposite direction at 366 km/h. When the aircraft measured the ship’s speed, it appeared to be traveling at 402 km/h. Determine the time required for the ship to reach the port.

**Q10: **

A helicopter flew in a straight line at 234 km/h above a train moving in the same direction. It took the helicopter 21 seconds to travel the length of the train. Following this, the pilot halved the helicopter's speed. Given that it took the train 14 seconds to pass the helicopter traveling at this speed, find the length of the train in meters.