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PLEASE HELP!!! Use the formula below to solve the given problem. In the formula, d represents the distance an object falls, in feet, and t represents the time that an object falls, in seconds. Do not include units in your answer.


a penny is dropped from the top of a building and takes 4 seconds to fall to the ground. what is the height of the building?

PLEASE HELP Use the formula below to solve the given problem In the formula d represents the distance an object falls in feet and t represents the time that an class=

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Answer:

256 feet

Step-by-step explanation:

Given

[tex]\sqrt{d}[/tex] = 4t

When t = 4, then

[tex]\sqrt{d}[/tex] = 4 × 4 = 16

Square both sides

([tex]\sqrt{d}[/tex])² = 16²

d = 256

The height of the building is 256 feet

The height of the building is 256.

How can we find the height of the building?

The height of the building can be found by using the given formula. Substitute the value t and then calculate the value of d which is equivalent to the height of the building.

We can calculate the height of the building as shown below:

It is given that the penny is dropped and it takes 4 seconds to hit the ground.

Therefore the value of t is equal to 4.

t = 4

The function modeling the scenario is given as:

√d = 4t

We can substitute the value of t = 4:

√d = 4*4

√d = 16

Now the whole equation is squared.

d = 256

We have found the height of the building as 256.

Therefore, The height of the building is 256.

Learn more about modeling using functions here: https://brainly.com/question/24853174

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