A 180 pound person dives off of a 30 foot cliff. What is their velocity as they enter the water?

Provide step by step

Taking the sea level as reference for altitude, then, on top of the cliff the diver has only potential energy:

Ep=m×g×h, where m is the diver's mass, g=9.8m/s² and h=30ft=9.144m is the cliff's height.

At the sea level, the diver has kinetic energy: Ec=m×v²/2

From energy conservation: Ec=Ep, resulting v=sqrt(2×g×h)=13.4m/s

v=13.4m/s

Note that mass does not count in the final result.

air exerts forces on falling objects near earth’s surface.

explanation:

the term 'free falls' refer to object that are falling towards the earth, in a situation in which gravity is the only force acting on the object.

for an object in free fall, the acceleration is constant (g, the gravitational acceleration), and so the velocity of the object constantly increases.

for objects near earth's surface, there is always another force acting on the object: the resistance due to the air. this force is opposed to the direction of fall of the object, and it is proportional to the velocity of the object, so as the object falls down, this force increases up to a point when it balances the force of gravity, and the object continues its motion at constant velocity (called terminal velocity). since in this case gravity is not the only force acting on the object, we are not in a situation of free fall.

the answer is f1 and d2 because if you put equal force on those two points the beam would balance trust me on this