A2-kg bowling ball is 1 meter off the ground on a post when it falls. just before it reaches the ground, it is traveling 4.4 m/s. assuming that there is no air resistance, which statement is true?

a. the mechanical energy is not conserved.

b. the mechanical energy is conserved.

c. the intial potential energy is greater than the final kinetic energy.

d. the initial potential energy is less than the final kinetic energy.

With the given information you can find the initial and final mechanical energies. Then we can verify the conservation of it.

1) Initially the ball is at rest 1 m over the ground, then its mechanical energy is only potential energy = m*g*h = 2kg * 9.8m/s^2 * 1m = 19.6 joule

2) When the ball is above to hit the ground, its mechanical energy is only kinetic energy = [1/2]m*v^2 = [1/2]2kg*(4.4m/s)^2 = 19.4 joule 

Those results, taken into account that the measures have some errors (for example the exact velocity of the ball when it reaches de floor is quite difficult to measure) confirm the conservation of the energy.

Then, the answer is the option B. The mechanical energy is conserved

This question is loaded with misleading, marginally meaningful phrases.

A 12V battery produces more current than a 1.5V battery produces,
through the same device, because the potential difference between
the terminals of the 12V battery is 8 times the potential difference
between the terminals of the 1.5V battery.

Of the choices offered, choice 'C' is the closest.  But it should say
"electrical potential", NOT "potential energy".