Final answer:
The maximum speed of the child as she swings is approximately 0.439 m/s.
Step-by-step explanation:
To find the maximum speed of the child on the swing, we can use the equation for the maximum velocity in simple harmonic motion: Vmax = Aω, where A is the amplitude and ω is the angular frequency. The angular frequency can be found using the period, T, which is the time for one complete swing. The formula for angular frequency is: ω = 2π / T. Plugging in the values, we have: ω = 2π / 3.3 s ≈ 1.91 rad/s. Substituting this into the equation for maximum velocity, we get: Vmax = (25°) * (1.91 rad/s). Converting the angle to radians, we have: Vmax ≈ 0.439 m/s.