Question

The time in seconds, t, it takes for a specific object being dropped from a particular height in feet above sea level, h, to reach the ground can be found by the radical function t equals one fourth times radical h period At what height should you drop an object in order for it to reach the ground in 16 seconds?

Answer 1

Answer:

B.) 4,096 feet

Step-by-step explanation:

You were given a time, and time in the equation is represented by "t". To find the height, represented by "h", you just need to plug the given value in for "t" and simplify to find "h".

t = (1/4)√x                                         <--- Original equation

16 = (1/4)√x                                      <--- Plug 16 in "t"

64 = √x                                            <--- Divide both sides by (1/4)

4,096 ft = x                                    <--- Square both sides

Answer 2

At what height should you drop an object in order for it to reach the ground in 8 SECONDS?

Answer:   1,024 feet

Step-by-step explanation:

t = ¼ √h

time = 8 seconds

8 = ¼ √h

8 × (4)  =  ¼ √h × (4)

32 = √h

1,024 = h

H = 1,024 feet