Question

Heather dropped a water balloon over the side of her school building from a height of 80 feet.The approximate height of the balloon at any point it's fall can be represented by the following quadratic equation: h=16t^2+80. About how long did it take for the balloon to hit the groundA. 1.73B.2.24C.2.45D.2.83

Answer 1

The balloon will never hit the ground.

Step-by-step explanation:

The approximate height of the balloon at any point during its fall can be represented by the quadratic equation h = 16t^2 + 80. To find the time it takes for the balloon to hit the ground, we set h equal to 0 and solve for t. Here's how:

1. Set h = 0: 16t^2 + 80 = 0.
2. Divide both sides by 16: t² + 5 = 0.
3. Subtract 5 from both sides: t² = -5.
4. Take the square root of both sides: t = √-5.
5. The square root of a negative number is not real, so it is not possible for the balloon to hit the ground in this scenario.

Therefore, the balloon will never hit the ground.