Answer:
a)
, b)
, c) 
Explanation:
A turbine is a device which works usually in steady state and assumption of being adiabatic means no heat interactions between steam through turbine and surroudings and produce mechanical work from fluid energy. Changes in gravitational energy can be neglected. This system can be modelled after the First Law of Thermodynamics:

a) Change in kinetic energy

![\Delta \dot K = \frac{1}{2} \cdot \left(12.6\,\frac{kg}{s} \right) \cdot \left[\left(80\,\frac{m}{s} \right)^{2}-\left(50\,\frac{m}{s} \right)^{2}\right]](https://tex.z-dn.net/?f=%5CDelta%20%5Cdot%20K%20%3D%20%5Cfrac%7B1%7D%7B2%7D%20%5Ccdot%20%5Cleft%2812.6%5C%2C%5Cfrac%7Bkg%7D%7Bs%7D%20%5Cright%29%20%5Ccdot%20%5Cleft%5B%5Cleft%2880%5C%2C%5Cfrac%7Bm%7D%7Bs%7D%20%5Cright%29%5E%7B2%7D-%5Cleft%2850%5C%2C%5Cfrac%7Bm%7D%7Bs%7D%20%5Cright%29%5E%7B2%7D%5Cright%5D)


b) Power output



c) Turbine inlet area
Turbine inlet area can be found by using the following expressions:






You can compare the velocity of the car, 60 mph, with the velocity that a mass would acquire when falls from certain height.
First, convert 60 mph to m/s:
60 miles/h * 1.60 km/mile * 1000 m/km * 1h/3600s = 26.67 m/s
Second, calculate from what height a body in free fall reachs 26.67 m/s velocity when hits the floor.
free fall => Vf^2 = 2g*H => H = Vf^2 / (2g)
H = (26.67m/s)^2 / (2*9.8 m/s) = 36.2 m
If you consider that the height between the floors of a building is approximately 3.6 m, you get 36.2 m / 3.6 m/floor = 10 floors.
Then, you conclude that the force of impact is the same as driving you vehicle off a 10 story building.
The answer is A. Hope this helps. :)
I'm not sure if a figure or some choices go along with this, but the closer to the sea floor the diver is, the lower the potential energy