These questions consists of two statements each printed as Assertion and Reason. While answering these question you are required to choose any one of the following five reponses
(a) If both Assertion and Reason arecorrect and Reason is the correct explanation of Asserrtion.
(b) If both Assertion and Reason are correct but Reason is not the correct explanation of Assertion.
(c ) If Assertion is true but Reason is false.
(d) If Assertion is false but Reason is true.
Assertion In projectile motion, the rate of change in magnitude of potential energy of a particle first decreases and then increases during motion.
Reason In projectile motion, the rate of change in linear momentum of a particle remains constant during motion.

Explanation

To solve the given question, we need to analyze the Assertion and Reason provided and determine their correctness as well as the relationship between them.

### Step 1: Analyze the Assertion
**Assertion:** "In projectile motion, the rate of change in magnitude of potential energy of a particle first decreases and then increases during motion."

- In projectile motion, the height of the projectile changes as it moves. Initially, as the projectile rises, its potential energy increases while its kinetic energy decreases. At the peak, the potential energy is at maximum, and as it falls, the potential energy decreases.
- Therefore, the rate of change of potential energy does not simply decrease and then increase; it continuously changes based on the height of the projectile.

**Conclusion for Assertion:** The assertion is **false**.

### Step 2: Analyze the Reason
**Reason:** "In projectile motion, the rate of change in linear momentum of a particle remains constant during motion."

- In projectile motion, the only force acting on the projectile is gravity, which is constant. The momentum of the projectile changes due to the vertical component of velocity changing under the influence of gravity.
- The linear momentum (p = mv) changes because the vertical component of velocity changes as the projectile moves up and down.

**Conclusion for Reason:** The reason is also **false**.

### Step 3: Determine the Relationship
Now we need to evaluate the relationship between the Assertion and the Reason:
- Since both the Assertion and the Reason are false, we can conclude that neither is correct, and therefore, they do not explain each other.

### Final Answer
Based on the analysis:
- **Assertion is false, and Reason is false.**
- Therefore, the correct response is: **(d) If Assertion is false but Reason is true.**