To solve the question, we need to analyze each statement one by one and determine their correctness based on the principles of physics, particularly Newton's laws of motion.
### Step-by-Step Solution:
1. **Statement I: If we throw a stone into the air from a car in uniform motion, it will come back into our hands again.**
- When a stone is thrown from a car moving with uniform motion (constant velocity), both the stone and the car share the same horizontal velocity at the moment of the throw. As the stone moves upward, it retains this horizontal velocity. Therefore, while the stone is in the air, it continues to move forward with the same speed as the car. When it comes back down, it will land back in the same position relative to the car, which means it will come back into our hands.
- **Conclusion:** This statement is **correct**.
2. **Statement II: If we throw a stone into the air from a car in uniformly accelerated motion, it will come back into our hands again.**
- In this case, the car is accelerating. When the stone is thrown, it initially has the same velocity as the car, but as the car accelerates, it increases its speed. The stone, however, will not accelerate in the same way because it is only affected by gravity after the throw. As a result, the stone will fall behind the car and will not come back into the thrower's hands.
- **Conclusion:** This statement is **incorrect**.
3. **Statement III: As the Earth rotates on its axis, clouds around it also rotate around it.**
- The Earth rotates on its axis, and the atmosphere, including clouds, is also rotating with the Earth due to gravitational forces and the inertia of the air. Therefore, the clouds do indeed rotate with the Earth.
- **Conclusion:** This statement is **correct**.
### Final Conclusion:
- The correct statements are **I and III**. Therefore, the answer is that statements I and III are correct.
