The polynomial −16t^2+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 100 feet with an initial vertical velocity of −40 feet per second. At the same time, another water balloon is dropped (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?
___seconds

How far are they from the ground at this time?
__ feet

c. Select the true statements about the expression you wrote in part (a).

The constant term indicates that the water balloons are always 50 feet apart.

The constant term represents the distance between the water balloons when they began to fall.

The variable term represents the amount that the distance between the water balloons changes each second.

The variable term represents the average height of the water balloons after t seconds.