Answer:
The required time is t = 8.8 [sg]
Step-by-step explanation:
The solution to this problem can be achieved by means of the kinematics equations, where each of the variables y = 0, y0= 380 [m], g is the gravitational acceleration = 9.81[m/s^2], as the body falls in free fall the initial velocity is zero.
![y=y_(0) + v_(0)*t-(1)/(2)*g*t^(2) \\\\where\\v_(0) =0\\y=0[m]\\](https://img.qammunity.org/2020/formulas/physics/middle-school/yep403gs65ne71swrs0ivn890u848r0ohj.png)
![0=-380+(0)*t-(1)/(2) *(9.81)*t^(2) \\\\t=\sqrt{(380*2)/(9.81) } \\t=8.8 [sg]](https://img.qammunity.org/2020/formulas/physics/middle-school/oxk09vrioloqpor76fkrxrgdx6ytsa7ro4.png)