LOTS OF POINTS!

A juggler throws a ball from an initial height of 4 feet with an initial vertical velocity of 30 feet per second. The height h (in feet) of the ball can be modeled by h 5 216t2 1 vt 1 s where t is the time (in seconds) the ball has been in the air, v is the initial vertical velocity (in feet per second), and s is the initial height.

23. Write an equation that gives the height (in feet) of the ball as a function of the time (in seconds) since it left the juggler’s hand.

24. If the juggler misses the ball, after how many seconds does it hit the ground?