A $82\mathrm{.}0$ kg cyclist is at rest on top of a $12\mathrm{.}0$ m high hill.

How fast will she be going at the bottom of the first hill if we neglect friction?

If she does $3120$ J of work by peddling, while crossing the $180\mathrm{.}0$ m flat section of the road, how fast will she be going when she reaches the base of the next hill?