Final answer:
The horizontal distance moved by the ball before hitting the ground is 0.08 meters.
Step-by-step explanation:
To solve this problem, we can use the equations of projectile motion. Since the ball is projected horizontally, its initial vertical velocity is 0 m/s. The ball will fall vertically due to gravity, and we can calculate the time it takes to hit the ground using the equation:
time =

where g is the acceleration due to gravity (9.8 m/s^2). Plugging in the values, we get:
time =
= 0.2 s.
Next, we can calculate the horizontal distance using the equation:
distance = velocity * time
Since the initial velocity in the horizontal direction is 0.4 m/s and the time is 0.2 s, we get:
distance = 0.4 * 0.2 = 0.08 m.
Therefore, the horizontal distance moved by the ball before hitting the ground is 0.08 meters.