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Answer :
Final answer:
The rocket reaches its highest height when the vertical velocity 'Vy' changes from positive to negative, which is mathematically when Vy=0. The initial position, final position, and initial velocity are used to calculate this height.
Explanation:
The subject of this question is Physics, specifically Rocket Physics and Mechanics. The rocket reaches its maximum height when the vertical velocity (Vy) becomes 0; this is where the velocity switches from being positive (upward direction) to negative (downward direction).
Using physics concepts, we can explain this with an equation, v² = voy² — 2g(y — yo), where 'voy' is the initial vertical velocity, 'g' represents gravity, 'y' is the final vertical position (altitude when Vy=0), and 'yo' is the initial vertical position (where the rocket was launched from).
We solve for 'y' to find when the rocket reaches its highest height. Additionally, it's worth noting as we see in many physics problems, there is more than one way to find when the rocket reaches its peak height. It is essential to select a suitable coordinate system and understand that the time for a projectile motion is entirely determined by the vertical motion.
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