Final answer:
The child travels a distance of 22.4 meters in 4.0 seconds.
Step-by-step explanation:
To find the distance traveled by the child, we can use the equation:
d = v0t + (1/2)at2
where d is the distance, v0 is the initial velocity, t is the time, and a is the acceleration.
Substituting the given values into the equation, we have:
d = (1.2)(4.0) + (1/2)(2.8)(4.0)2 = 22.4 m
Therefore, the child travels a distance of 22.4 meters in 4.0 seconds.