a) Potential energy is mgh where h = vertical distance.
b) Kinetic energy is (1/2)mv^2
c) It has gained energy mgh where h is the vertical distance it fell (so far). Add that to the initial KE.
d) It has gained energy mgh where h is the total vertical distance it fell. Add that to the initial KE.
e) Work F * d = kinetic energy, because the force has to remove that kinetic energy from the rock.
f) Exactly the same
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