Final answer:
The question involves calculating the maximum height of a projectile in Physics, which is a theoretical scenario only possible with an infinite initial velocity. In practice, the maximum height depends on the initial vertical velocity component, and the time to reach this height can be found with standard kinematic equations.
Step-by-step explanation:
The question relates to the concept of projectile motion in Physics, particularly the calculation of maximum height (h) achieved by a projectile thrown upwards with an initial velocity that would take it to infinity. Given the equation h = 2g, it is important to recognize that this formula does not reflect the realistic scenario since it implies infinite initial velocity. However, the concept behind this is related to the vertical component of the initial velocity.
For a projectile launched vertically, time (t) to reach the maximum height can be found using the equation 0 = Voy - gt, where Voy is the initial vertical velocity and g is the acceleration due to gravity. Since we discuss an ideal case with velocity sufficient to reach infinity - which is not possible in practice due to gravity and air resistance - the calculation for a finite but large initial velocity might be more relevant. In such cases, any projectile with a specific initial vertical velocity component will reach the same maximum height if air resistance is neglected.
Through this discussion, it becomes clear that understanding the concepts of vertical motion and acceleration due to gravity is crucial in projectile motion problems. It is also evident that the maximum height reached by a projectile depends only on its initial vertical velocity component.