A rock is thrown vertically upward with an initial speed of 100 ft/s. At the same instant another rock is thrown vertically downward from the top of a 280 ft cliff with an initial speed of 40 ft/s. Neglecting air friction,
a. Express the height above the around for each rock as a function of time.
b. Find the time when the rocks pass each other.
c. Find the height above the ground at which the rocks pass each other.d. When are the speeds of the rocks the same?