Question

A water balloon is dropped from a height of 36 ffet. How long does the balloon take to reach the ground? Use the formula H = -16(t)(t) + 36

Can anyone figure out how to do this? Thanks

Answer 1

What does H represent?

Answer 2

hight

Answer 3

If H represents hight, then the balloon reaches the ground when H-=0. That's:
\[-16t^2+36=0\]
Solve for t, and this is what you'r looking for.

Answer 4

Can you solve the equation?

Answer 5

\[-16t^2+36=0 \implies 16t^2=36 \implies t^2=9/4 \implies t=3/2, t=-3/2\]
Take only the positive value of t. So, the balloon will take 3/2 (time unite) before reaching the ground.

Answer 6

thank you so much!

Answer 7

You're welcome. I hope that made sense to you.

Answer 8

it does now :)