Starting from rest a model rocket accelerates upwards at 24 m/s. how long does it take to reach a height of 192 meters

Explanation:

We want to write the equation of displacement (vertical in this case) for accelerated motion, which is . If we take the upward direction as positive, assume it starts from rest and from the ground, and (the units are wrong in the text, if accelerates at that magnitude, it's an acceleration, in particular in ), then we have .

We want to know the time when , so we need to solve , for which we have:

This means it takes 4 seconds for a rocket accelerating at to reach a height of 192m.