In the following questions a statement of assertion (A) is followed by a statement of reason ( R).
A : At the highest point the velocity of projectile is zero .
R: At maximum height projectile comes to rest.

Options

A. If both Assertion & Reason are true and the reason is the correct explanation of the assertion then mark (1) .
B. If both Assertion & Reason are true but the reason is not the correct explanation of the assertion then mark (2)
C. If Assertion is true statement but Reason is false then mark (3).
D. If both Assertion and Reason are false statements then mark (4) .

Answer

To solve the question, we need to analyze both the assertion (A) and the reason (R) provided.

### Step-by-Step Solution:

1. **Understanding the Assertion (A)**:
- The assertion states that "At the highest point the velocity of the projectile is zero."
- In projectile motion, when an object reaches its maximum height, the vertical component of its velocity becomes zero due to the acceleration due to gravity acting downwards.

**Hint**: Remember that the velocity of a projectile has both horizontal and vertical components.

2. **Analyzing the Vertical Component**:
- Initially, the vertical component of the velocity (Vy) is given by \( u \sin \theta \), where \( u \) is the initial velocity and \( \theta \) is the angle of projection.
- As the projectile rises, this vertical component decreases due to gravity until it reaches zero at the maximum height.

**Hint**: Focus on how gravity affects the vertical motion of the projectile.

3. **Understanding the Horizontal Component**:
- The horizontal component of the velocity (Vx) remains constant throughout the motion, given by \( u \cos \theta \).
- At the highest point, while the vertical component (Vy) is zero, the horizontal component (Vx) is still present.

**Hint**: Consider the independence of horizontal and vertical motions in projectile motion.

4. **Conclusion on Assertion (A)**:
- Since the horizontal component of velocity is not zero at the maximum height, the assertion that "At the highest point the velocity of the projectile is zero" is **false**.

5. **Understanding the Reason (R)**:
- The reason states that "At maximum height, the projectile comes to rest."
- This statement implies that both components of velocity must be zero for the projectile to be at rest.

**Hint**: Reflect on what it means for an object to be at rest in terms of its velocity components.

6. **Conclusion on Reason (R)**:
- Since the projectile is not at rest (it still has a horizontal velocity), the reason is also **false**.

7. **Final Conclusion**:
- Both the assertion (A) and the reason (R) are false statements. Therefore, the correct answer is that both the assertion and reason are incorrect.

### Final Answer:
Both the assertion and reason are false statements.