The polynomial −16t2+v0t+s0 represents the height (in feet) of an object, where v0
is the initial vertical velocity (in feet per second), s0
is the initial height (in feet) of the object, and t
is the time (in seconds). A water balloon is thrown downward from a height of 125 feet with an initial vertical velocity of −50
feet per second. At the same time, another water balloon is dropped (v0=0)
(v0=0) from a height of 50 feet.

a. Write an absolute value expression that represents the distance between the water balloons after t seconds.
b. After how long are the water balloons at the same height?
How far are they from the ground at this time? feet