Final answer:
To find the maximum descent hmax without gravitational forces, one must redefine the problem using kinematic equations with relevant forces and the initial velocity of the particle.
Step-by-step explanation:
The student is tasked with finding the maximum distance hmax that a proton descends vertically below its initial position. The equation h = 2g seems to be incorrectly stated as it usually defines the maximum height for projectile motion and involves the square of the initial velocity and acceleration due to gravity. However, since gravitational forces are ignored in this case, the equation might not be applicable as is. To find hmax, one would typically use kinematics equations, accounting for initial velocity, acceleration, and the time it takes to reach the maximum height when velocity is zero.
We would start by selecting a coordinate system where the point of release is the origin. Since gravity is ignored, the only force acting on the proton would be its initial motion. If the velocity at the maximum height is zero, we can solve for the time it takes for the proton to stop ascending using its initial velocity and any additional forces acting on it. In this case, since gravity is ignored, the concept might be different, but the strategy will involve the initial velocity and the force exerted on the proton to accelerate it downward.