a. To find the maximum height of the container, we first need to find the vertex of the parabolic equation h = -16t^2 + 25. The formula for the vertex of a parabola in the form y = ax^2 + bx + c is given by x = -b/2a. In this case, a = -16 and b = 0 (since there is no t term).
So the vertex occurs at t = -0/(2*-16) = 0. To find the maximum height, we substitute t = 0 back into the equation: h = -16(0)^2 + 25 = 25.
Therefore, the maximum height of the container is 25 feet.
b. To find out how long it takes for the container to reach the ground, we need to solve the equation h = 0. So we have:
-16t^2 + 25 = 0
-16t^2 = -25
t^2 = 25/16
t = sqrt(25/16) = 5/4 = 1.25 seconds
So 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 = -16^2+ 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