Calculation of Impulse:
The impulse experienced by the ball can be calculated using the equation:

Impulse = Change in momentum

Momentum is the product of mass and velocity, given by the equation:

Momentum = mass × velocity

Step 1: Calculate the initial momentum:
The initial momentum of the ball can be calculated using the given momentum and angle.

Given:
Momentum = 15 kg m/s
Angle = 30 degrees

Since the angle of incidence is 30 degrees, the vertical component of momentum is given by:

Vertical momentum = Momentum × sin(angle)
= 15 kg m/s × sin(30 degrees)
= 15 kg m/s × 0.5
= 7.5 kg m/s (upwards)

The horizontal component of momentum remains unchanged.

Step 2: Calculate the final momentum:
The final momentum of the ball is equal to the initial momentum since the ball is reflected with the same momentum.

Final momentum = 15 kg m/s

Step 3: Calculate the change in momentum:
The change in momentum is given by the difference between the final momentum and the initial momentum.

Change in momentum = Final momentum - Initial momentum
= 15 kg m/s - 15 kg m/s
= 0 kg m/s

Step 4: Calculate the impulse:
The impulse experienced by the ball is equal to the change in momentum.

Impulse = Change in momentum
= 0 kg m/s

Therefore, the impulse experienced by the ball is 0 kg m/s.

Explanation:
When a ball strikes against a wall and is reflected, the magnitude of its momentum remains the same. However, the direction of momentum changes. In this case, the ball strikes the wall at an angle of 30 degrees and is reflected with the same momentum and angle. The vertical component of momentum changes direction, while the horizontal component remains unchanged.

To calculate the impulse, we first calculate the initial momentum using the given momentum and angle. The vertical component of momentum is given by multiplying the given momentum by the sine of the angle. The horizontal component remains the same.

The final momentum is equal to the initial momentum since the ball is reflected with the same momentum.

The change in momentum is calculated by subtracting the initial momentum from the final momentum. In this case, the change in momentum is zero.

Therefore, the impulse experienced by the ball is zero. This means that there is no change in momentum, and the ball experiences no force during the collision with the wall.