There are already derived equations for rectilinear motion at constant acceleration. For free falling objects, they are further simplified because only the gravitational force is acting on the body. The equations for time and velocity at impact are:
t = √2h/g
v = √2gh
where
h is the height
g is the acceleration due to gravity equal to 9.81 m/s²
1. t = √2(380 m)/9.81 m/s² = 8.8 seconds
2. v = √2(9.81 m/s²)(380 m) = 86.3 m/s
