You are standing on a hotel balcony 30 feet up from the ground. You want to throw your key to someone standing outside the hotel on the ground ...

You are standing on a hotel balcony 30 feet up from the ground. You want to throw your key to someone standing outside the hotel on the ground. You throw it angled upward with an initial velocity of 55 ft/sec. Assume that the acceleration due to gravity is -32 ft/sec/sec.

Find the position function in terms of t.
Your friend misses catching the key, and it falls to the ground. How many seconds does it take to reach the ground?