Answer:
1.9 s
Step-by-step explanation:
We are given that
Length of cable=l=15 m
We have to find the time you have to move out of the way.
We know that
Time period,T=
![2\pi\sqrt{(l)/(g)}](https://img.qammunity.org/2021/formulas/physics/high-school/zvter620uegchlna8isi20u55x4m5i3c88.png)
Where g=
![9.8m/s^2](https://img.qammunity.org/2021/formulas/physics/college/q3cbmsuzksmqvnx8ntq9q01tibx1kq0itt.png)
By using the formula
![T=2\pi\sqrt{(15)/(9.8)}](https://img.qammunity.org/2021/formulas/physics/high-school/rhsr07bn8h53zjp31wp2lkew2w6e75cv8c.png)
![T=2* 3.14* \sqrt{(15)/(9.8)}=7.77 s](https://img.qammunity.org/2021/formulas/physics/high-school/vemoud5499xl0sb9uu1tnp8gephey95gkr.png)
Time you have to move out
![t=(T)/(4)=(7.77)/(4)=1.9 s](https://img.qammunity.org/2021/formulas/physics/high-school/6bdctei8e38i8dam0ksyg62sj4yf0p37g1.png)
Hence,time you have to move out of the way=7.77 s