Problem #$2$

Use the work$-$energy theorem to solve each of the cases below. You can use newton's laws to check

your answers. Neglect air resistance in all cases.

a$)$ A branch falls from the top of a $95\mathrm{.}0m$ tall redwood tree, starting from rest. How fast is it

moving when it reaches the ground?

b$)$ A volcano ejects a boulder directly upward $525m$ into the air. How fast was the boulder

moving just as it left the volcano?