<h2>Hello!</h2>
The answers are:
Height to achieve a speed of 2 m/s = 0.20m
Height to achieve a speed of 3 m/s = 0.46m
Height to achieve a speed of 4 m/s = 0.82m
Height to achieve a speed of 5 m/s = 1.28m
Height to achieve a speed of 6 m/s = 1.84m
<h2>Why?</h2>
Since an object in free fall is accelerated by gravity, the speed will increase according to the distance where the object is dropped. Gravitational acceleration is equal to 9.8 m/s2, it means that the speed will be increased by 9.8 m/s each second.
We are asked to find the heights necessary to drop the bottle to achieve the given speeds, so:
Speed of 2 m/s calculations:
Speed of 3 m/s calculations:
Speed of 4 m/s calculations:
Speed of 5 m/s calculations:
Speed of 6 m/s calculations:
Have a nice day!