Question

Using this equation, figure out the range of possible heights the building has. 5t=√2d/4.9

Answer 1

The range of possible heights the building has is
`d \ge 300125`

How to determine the range of possible heights the building has.

From the question, we have the following parameters that can be used in our computation:

`t =(√(2d))/(4.9)`

Also, we have that

It takes at least 5 seconds for the box to hit the ground

This means that

t ≥ 5

So, we have

`(√(2d))/(4.9) \ge 5`

Multiply through by 4.9

`√(2d) \ge 24.5`

Square both sides

`2d \ge 600.25`

Divide both sides by 2

`d \ge 300125`

Hence, the range of possible heights the building has is
`d \ge 300125`

Question

You are standing at the top of a building that is under construction. Someone drops a box of nails off the side of the building, and you count that it takes at least 5 seconds for the box to hit the ground. The time it takes something to fall from a distance d (in meters) can be found from the equation:

Using this equation, figure out the range of possible heights the building has.

t =√(2d)/4.9