Awater balloon is thrown out of a window 96 feet above the ground. the balloon is traveling downward at 16 feet per second initially. if h is the balloon’s height in feet after t seconds, then h = -16t 2 -16t + 96, it will take the balloon how many seconds to hit the ground.

It hits the ground at h=0

0=-16t^2-16t+96

0=-16(t^2+t-6)

0=-16(t-2)(t+3)

0= 2 and -3

Since you can't have negative time that excludes the -3. So 2 is the answer.

I've seen other people answering 96/16=6. The question says the balloon drops at 16feet/sec INITIALLY. That's why there is a specific formula for this. If your answer ends in something like "I think" then please don't answer.

you didn't give me the choices, so i will just give you the graph so you can look at your choices and choose the right one.