Energy of a Falling Object A ball with mass m is dropped from an initial height of h₀ and lands with a final velocity of v_f. The kinetic energy of the ball is K(v) = 1/2mv², where v is its velocity, and the potential energy of the ball is P(h₀) = mgh, where h is its height and g is a constant. 

(a) Show that P(h₀) = K(v_f). 

(b) Interpret your result from part (a).