You can use the equation d = 16t^2 (note: t is raised to the second power or squared) to determine the time t in seconds that it takes a dropped object to fall a distance of d feet. How long (in seconds) does a fall of 224 feet take? Round your answer to the nearest tenth. *

The time the object takes to fall on the ground from 224 feet is 3.74 s.

Step-by-step explanation:

In this case we have a known quantity, the distance of the fall that is 224 feet and a equation that represents the motion of this fall that is d = 16t^2. We wish to find the time it'll take this object to fall, so we can solve this equation for t. It goes as follows:

d = 16t^2

d/16 = t^2

t^2 = d/16

t = \sqrt(d/16)

t = [\sqrt(d)]/4 = [\sqrt(224)]/4 = 14.97/4 = 3.74 s

where \sqrt is the square root of the number.

We have 7200 gallons of water, and each bottle contains one gallon of water, so we have 7200 bottles.

Each carton contains 8 bottles, so we must divide the 7200 bottles into cartons by 8 bottles each.

So, the number of cartons we will need is