Final answer:
The initial vertical speed required to reach a maximum height of 5.9 meters, considering the acceleration due to gravity as 9.8 m/s^2, is calculated using the kinematic equation v = √(2gh), which results in an initial vertical speed of approximately 10.7 m/s. Therefore, the correct answer is C. 10.7 m/s.
Step-by-step explanation:
The subject of this question is Physics as it involves calculations based on the acceleration due to gravity, which is a fundamental concept in mechanics, a branch of Physics. The specific concept being addressed is kinematic equations of motion for an object in free fall. The question pertains to calculating the initial vertical speed of an object that has reached a maximum height, given the acceleration due to gravity.
To find the initial vertical speed, we can use the kinematic equation v = √(2gh), where v is the final velocity (— in this case, the velocity at the maximum height, which is 0 since the object stops rising before descending), g is the acceleration due to gravity (9.8 m/s²), and h is the maximum height (5.9 m). Using this equation:
V₁ = √(2 × 9.8 m/s² × 5.9 m) = √(115.64 m²/s²) ≈ 10.76 m/s
Therefore, the correct answer is C. 10.7 m/s, as it is the initial vertical speed required to reach a maximum height of 5.9 meters.