A bomber flying horizontally with constant speed releases a bomb from an aeroplane.
a) The path of bomb as seen by the observer on the ground is parabola
b) The path of the bomb as seen by a pilot is a straight line.
c) The path of the aeroplane with respect to bomb is a straight line
d) The path of the bomb as seen by pilot observed as parabola.

Options

A. a is correct
B. a and b are correct
C. a, b and c are correct
D. only d is correct

Answer

To solve the question regarding the path of a bomb released from a horizontally flying bomber, we will analyze the motion from different perspectives.

### Step-by-Step Solution:

1. **Understanding the Motion of the Bomber and the Bomb:**
The bomber is flying horizontally with a constant speed. When the bomb is released, it retains the horizontal velocity of the bomber while also being acted upon by gravity, which causes it to accelerate downwards.

**Hint:** Consider the initial velocity of the bomb at the moment of release and the effect of gravity on its motion.

2. **Path of the Bomb as Seen by an Observer on the Ground:**
For an observer on the ground, the bomb follows a parabolic trajectory. This is because it has an initial horizontal velocity (the same as the bomber) and is subject to downward acceleration due to gravity. The combination of these two motions results in a parabolic path.

**Hint:** Think about how the horizontal and vertical motions combine to form a curve.

3. **Path of the Bomb as Seen by the Pilot:**
For the pilot in the bomber, the bomb appears to fall straight down. This is because the pilot is moving at the same horizontal speed as the bomb at the moment of release. Therefore, the bomb's horizontal motion is not perceived as it is moving with the pilot.

**Hint:** Consider the relative motion between the pilot and the bomb.

4. **Path of the Aeroplane with Respect to the Bomb:**
From the perspective of the bomb, the bomber is moving horizontally at a constant speed. Since the bomb is falling straight down, the path of the bomber relative to the bomb is also a straight line.

**Hint:** Analyze the relative motion between two objects in different frames of reference.

5. **Path of the Bomb as Seen by the Pilot (Again):**
As established earlier, the pilot sees the bomb falling straight down, which means the pilot would not observe a parabolic path for the bomb.

**Hint:** Revisit the concept of relative motion to clarify this observation.

### Conclusion:
Based on the analysis:
- Statement A is correct: The path of the bomb as seen by the observer on the ground is parabolic.
- Statement B is correct: The path of the bomb as seen by the pilot is a straight line.
- Statement C is correct: The path of the aeroplane with respect to the bomb is a straight line.
- Statement D is incorrect: The path of the bomb as seen by the pilot is not parabolic.

Thus, the correct options are A, B, and C.

### Final Answer:
The correct answer is: A, B, and C are correct.