a. To find the maximum height of the container, we need to find the vertex of the quadratic equation h = -16 + 25. The formula for the vertex of a quadratic equation in the form y = ax^2 + bx + c is given by x = -b/2a.
In this case, a = -16 and b = 0, so the formula becomes x = -0 / 2(-16) = 0. Therefore, the maximum height of the container is h = 25 feet.
b. To find how long it will take for the container to reach the ground, we need to find when the height is 0.
Setting h = 0 in the equation h = -16t^2 + 25, we get 0 = -16t^2 + 25.
Solving for t, we get t^2 = 25/16, t = sqrt(25/16) = 5/4 = 1.25 seconds.
Therefore, it will take 1.25 seconds for the container to reach the ground.
in science class, the students were asked to create a container to hold an egg. They would then drop this container from a window that is 25 feet above the ground. If the equation of the container's pathway can
be modeled by the equation h = -16 + 25, how long will it take the
container to reach the ground?
a. Find the maximum height of the container.
2a
b. How many seconds will it take for the container to reach the ground?
1 answer
1 answer