Assertion : Projectile motion is called a two dimensional motion, although it takes place in space.
Reason : In space it takes place in a plane.

Options

A. (a)If both Assertion and Reason are true and the Reason is correct explanation of the Assertion.
B. (b)If both Assertion and Reason are true and the Reason is not the correct explanation of the Assertion.
C. (c) If Assertion is true, but the Reason is false.
D. (d) If Assertion is false, but the Reason is true.

Answer

To analyze the assertion and reason provided in the question regarding projectile motion, let's break it down step by step:

### Step 1: Understanding Projectile Motion
Projectile motion refers to the motion of an object that is projected into the air and is subject to the force of gravity. It follows a curved path known as a trajectory.

### Step 2: Identifying Dimensions of Motion
Projectile motion is characterized by two components:
- Horizontal motion (along the x-axis)
- Vertical motion (along the y-axis)

Since the motion occurs in both the horizontal and vertical directions, it is classified as two-dimensional motion.

### Step 3: Analyzing the Assertion
The assertion states that "Projectile motion is called a two-dimensional motion, although it takes place in space." This is true because, while the motion occurs in a three-dimensional space, the actual trajectory of the projectile is confined to a two-dimensional plane (the x-y plane).

### Step 4: Analyzing the Reason
The reason states that "In space it takes place in a plane." This is also true. Although we consider the three-dimensional space, the projectile's path can be described in a two-dimensional coordinate system, typically ignoring any motion along the z-axis (if we assume the motion is happening on a flat surface).

### Step 5: Conclusion
Both the assertion and the reason are correct. Therefore, we conclude that:
- The assertion is true.
- The reason is true.
- Both are related and support each other.

### Final Answer
Both the assertion and reason are correct.

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