Answer:
0.303 seconds
Explanation:
We need to find the time that the cell phone takes to reach the sink. So, we will use the following equation
[tex]y=y_i+v_it+\frac{1}{2}at^2[/tex]Where
yi is the initial position, so yi = 0.45 m
vi is the initial velocity. Since it is freefall, vi = 0 m/s
a is the acceleration due to gravity, so a = -9.8 m/s²
y is the final position, so y = 0 m
t is the variable that we need to find.
So, replacing the values, we get:
[tex]\begin{gathered} 0=0.45+0t+\frac{1}{2}(-9.8)t^2 \\ 0=0.45-4.9t^2 \end{gathered}[/tex]Now, we can solve for t
[tex]\begin{gathered} -0.45=-4.9t^2 \\ \frac{-0.45}{-4.9}=t^2 \\ 0.09=t^2 \\ \sqrt[]{0.09}=t \\ 0.303\text{ s = t} \end{gathered}[/tex]Therefore, you have 0.303 seconds before your cell phone is ruined.
