9514 1404 393
Answer:
1094 ft
Step-by-step explanation:
The initial kinetic energy of the rocket will have been completely converted to potential energy when ...
1/2v^2 = gh
where v is the initial vertical velocity, g is the acceleration due to gravity, and h is the height attained. Solving for h gives ...
v^2/(2g) = h
(256 ft/s)²/(2(32 ft/s²)) = 1024 ft
The rocket will attain a height of 1024 feet above the building, or ...
1024 ft + 70 ft = 1094 ft . . . . height above the ground
