Answer:
![\begin{array}{l|l}\text{Speed}\; \mathrm{(m\cdot s^{-1})} & \text{Minimum Height\;(m)}\\\cline{1-2}\\[-1em] 2 & 0.204\\3&0.459\\4 & 0.815\\5 & 1.27 \\6 & 1.83\end{array}](https://tex.z-dn.net/?f=%5Cbegin%7Barray%7D%7Bl%7Cl%7D%5Ctext%7BSpeed%7D%5C%3B%20%5Cmathrm%7B%28m%5Ccdot%20s%5E%7B-1%7D%29%7D%20%26%20%5Ctext%7BMinimum%20Height%5C%3B%28m%29%7D%5C%5C%5Ccline%7B1-2%7D%5C%5C%5B-1em%5D%202%20%26%200.204%5C%5C3%260.459%5C%5C4%20%26%200.815%5C%5C5%20%26%201.27%20%5C%5C6%20%26%201.83%5Cend%7Barray%7D)
.
Assumptions:
- The object is dropped in a free fall.
- There's no air resistance.
- The downward acceleration due to gravity is
Explanation:
Consider the "SUVAT" equation
,
where
is the final velocity,
is the initial velocity,
is the acceleration of the object, and
is the change in the object's position.
For example, if the bottle needs to achieve a speed of 
by the time it reaches the ground,
since the statement that the bottle is "dropped" implies a free fall.
.
Apply the previous equation to find the minimum height, :
.
Replace the value and apply the formula to find the minimum height required to reach different final speeds.
<span>Science
Define</span>A body of knowledge and the process of gaining new knowledge<span>Pseudoscience
Define</span><span>Sometimes a practice or a belief claims to be science, but does not follow specific criteria. Criteria that define true science include scientific experimentation, replication of results,and peer review. Beliefs and claims that do not meet these criteria are called pseudoscience</span>
It is incorrect to say heavy objects sink in water because based on the density of the water it can actually cause the "heavy object" to float, out weighing it.
