In science class the students were asked to create a container to hold an egg. They would then drop the container from a window

Question

3 years ago

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In science class the students were asked to create a container to hold an egg. They would then drop the container from a window

that is 25 feet above the ground. If the equation of the containers pathway can be modeled by the equation h=-16t+25 how long will it take the container to reach the ground

Mathematics

1 answer:

belka [17] · Answer 1 · 2022-06-21T11:33:43+03:00

Answer:

It will take 1.25 seconds to reach the ground.

Step-by-step explanation:

The equation of the containers pathway can be modeled by the equation given below :

$h=-16t^2+25$

t is time in seconds

It is required to find the time taken by the container to reach the ground. When it reached ground, its height is equal to 0 such that,

$h=0\\\\-16t^2+25=0$

$-16t^2=25\\\\t=\sqrt{\dfrac{25}{16}} \\\\t=1.25\ s$

So, it will take 1.25 seconds to reach the ground.