Answer:29.627 m
Explanation:
Given
Initial velocity of life preserver(u) is 1.6 m/s
it takes 2.3 s to reach the water
using equation of motion
v=u+at
[tex]v=1.6+9.81\times 2.3[/tex]
v=24.163 m/s
Let s be the height of life preserver
[tex]v^2-u^2=2gs[/tex]
[tex]24.163^2-1.6^2=2\times 9.81\times s[/tex]
[tex]s=\frac{581.29}{2\times 9.81}[/tex]
s=29.627 m
