Problem 9. (a) A stone is dropped from rest off of a cliff in the mountains. How long does it take for it to fall 100 m? You may assume

that there is no air resistance. (b) How long does it take tofall from 100 m below its starting point to 200 m below its starting point? (c) Explain in words why the answers to (a) and (b) are not the same. (d) Assume now that the stone drops a total distance of h. Determine an expression (in terms of whatever variables are needed) for its velocity after traveling that distance. Verify that the expression you obtained has the correct units.