Final answer:
The question seeks the calculation of burnout velocity and altitude for a dragless projectile, which involves physics concepts of projectile motion and equations of motion for rockets.
Step-by-step explanation:
The question involves computing the burnout velocity and burnout altitude of a projectile given its initial vertical velocity and trajectory. The key concepts to understand are projectile motion, initial velocity, and the equations governing vertical motion.
While the prompt provides several instances discussing projectile motion, burnout velocity, and altitude are specific to rocketry, where a projectile (in this case a rocket) ceases to gain altitude or speed due to fuel depletion. Here, the term 'dragless' suggests ignoring air resistance, simplifying the equations used.
To find the burnout velocity and altitude, one would typically use the key motion equations, considering gravity's effect over time. This would involve integrating the motion equations with respect to time, until the point of fuel exhaustion. Specific information from the question would be required to provide exact numbers for velocity and altitude.
Without this specific information, a generic method for finding burnout velocity and altitude can't be provided. However, the principles generally involve physics and the equations of motion for uniformly accelerated motion (if thrust is constant) or more complex integrals (if thrust varies over time).