Question

A water 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.

Answer 1

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.

Answer 2

Answer:

The balloon is thrown out a window that is 96 feet. We don't know if it is thrown at an angle we just know that it is moving at 16 feet per second so we would divide 16 from 96 to get 6.