heather dropped a water balloon over the side of her school building from a height of 80 feet. the…

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 during its fall can be represented by the following quadratic equation: h = -16t² + 80. about how long did it take for the balloon to hit the ground? 1.73 seconds 2.24 seconds 2.45 seconds 2.83 seconds

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 during its fall can be represented by the following quadratic equation: h = -16t² + 80. about how long did it take for the balloon to hit the ground? 1.73 seconds 2.24 seconds 2.45 seconds 2.83 seconds

Answer

Explanation:

Step1: Set height h to 0

When the balloon hits the ground, $h = 0$. So we set up the equation $0=-16t^{2}+80$.

Step2: Rearrange the equation

$16t^{2}=80$.

Step3: Solve for $t^{2}$

$t^{2}=\frac{80}{16}=5$.

Step4: Solve for t

$t=\sqrt{5}\approx 2.24$ (we take the positive value since time cannot be negative).

Answer:

2.24 seconds