The image you have provided contains a parabolic trajectory of a ball kicked by Alif, along with some related questions. Based on the diagram and the provided text, here’s a breakdown of the problem:

The diagram shows the trajectory of a ball, with initial velocity $v_0 = 10 \, \text{m/s}$ and an angle of $30^\circ$ above the horizontal axis. There are several points marked on the trajectory: A, B, and C.

Questions 4-8 relate to calculating various aspects of this projectile motion:

1. Initial velocity components:

   • The initial velocity has both horizontal and vertical components. The horizontal component is: $v_{0x} = v_0 \cos(30^\circ)$ The vertical component is: $v_{0y} = v_0 \sin(30^\circ)$

2. Velocity at point A: This would require calculating the velocity at that specific point based on the initial velocity components and the time elapsed.

3. Velocity at time $t = 0.5 \, \text{seconds}$: At this point, we can use kinematic equations to calculate the velocity at this specific time.

4. Maximum height: The ball reaches its maximum height when the vertical component of the velocity becomes zero. We can calculate this using: $v_y = v_{0y} - g t_{\text{max}} = 0$ where $t_{\text{max}}$ is the time to reach maximum height, and $g = 9.8 \, \text{m/s}^2$ is the acceleration due to gravity.

5. Horizontal range: The horizontal distance covered by the ball can be calculated by finding the total time of flight and then using the horizontal component of velocity.

I’ll start solving the problems step by step based on the data provided. Let's calculate the initial velocity components first:

$v_{0x} = 10 \cos(30^\circ), \quad v_{0y} = 10 \sin(30^\circ)$

Let me calculate that for you.The initial velocity components of the ball are:

• Horizontal component $v_{0x} = 8.66 \, \text{m/s}$
• Vertical component $v_{0y} = 5.00 \, \text{m/s}$

Next, I’ll calculate the answers for the remaining questions.

1. The velocity at point A (which seems to be at the beginning).
2. The velocity at time $t = 0.5 \, \text{seconds}$.
3. The maximum height reached by the ball.
4. The total horizontal range (maximum distance).

Should I proceed with these calculations?