The projectile has only vertical component of velocity at the highest point of its trajectory.
At the highest point, only one component of velocity is present.

Options

A. (a)Statement (I) is true, Statement (II) is true , statement (II) is the correct explanation for Statement (I).
B. (b)Statement (I) is true, Statement (II) is true , statement (II) is not the correct explanation for Statement (I).
C. (c)Statement (I) is true, Statement (II) is false.
D. (d)Statement (i) is false, Statement (II) is true.

Explanation

To solve the question regarding the projectile motion and the components of velocity at the highest point of its trajectory, we can follow these steps:

### Step 1: Understand the Projectile Motion
A projectile is an object that is thrown into the air with an initial velocity and is subject to the force of gravity. The motion of a projectile can be analyzed in two dimensions: horizontal and vertical.

### Step 2: Identify the Components of Velocity
At any point during the projectile's flight, the velocity can be broken down into two components:
- **Horizontal Component (Vx)**: This component remains constant throughout the flight since there are no horizontal forces acting on the projectile (ignoring air resistance).
- **Vertical Component (Vy)**: This component changes due to the acceleration caused by gravity.

### Step 3: Analyze the Highest Point of the Trajectory
At the highest point of its trajectory:
- The vertical component of the velocity (Vy) becomes zero because the projectile momentarily stops rising before it starts to fall back down.
- The horizontal component of the velocity (Vx) remains unchanged and is equal to the initial horizontal velocity.

### Step 4: Conclusion on the Statements
1. The statement "The projectile has only vertical component of velocity at the highest point of its trajectory" is **false** because at the highest point, the vertical component is zero.
2. The statement "At the highest point, only one component of velocity is present" is **true** because only the horizontal component of velocity is present at that point.

### Final Answer
Thus, the correct answer is that the first statement is false and the second statement is true.