The height of an object launched vertically with an initial velocityv0 from the initial heights0 is given by the function h(t)=21gt2+v0t+s0, where g is acceleration due to gravity.

1. What is the velocity of the object as a function of time?

2. What is the acceleration of the object as a function of time?

3. At what time does the object reach it's maximum height?

4. Assume the object is launched from ground level s0=0. What is the velocity of the object when it hits the ground?