Question

For a science competition students must design a container that prevents an egg from breaking when dropped from a height of 200 feet. the function can

be modeled by h (t) = -16t^2+ 200 where h is the height in feet and t is the time in seconds. How long does it take the container to hit the ground?

Answer 1

The container takes approximately 3.16 seconds to hit the ground.

Step-by-step explanation:

The container takes approximately 3.16 seconds to hit the ground.

Given that the height function is h(t) = -16t^2 + 200, we can set h(t) equal to 0 to find the time it takes for the container to hit the ground. So, -16t^2 + 200 = 0.

By solving the quadratic equation, we find that t ≈ 3.16 seconds. This means it takes approximately 3.16 seconds for the container to hit the ground.