Let's first come up with some variables, and then perform an English-to-Math translation to derive an equation.

d - distance an object falls

t - the time it falls

Imagine the object in hand, and t is measured by a

stopwatch. The stopwatch starts at the moment the object is released; at this moment, t 0. d is also equal to 0 when t = 0, since at the precise moment it is released, it hasn't fallen yet.

Now that we have the situation and variables defined, we can begin the English-to-Math translation:

"The distance a free falling object falls" "is" "directly

proportional to" "the square of the time it falls".

D - kt²

We are also given a distance (d = 44) for a given time (t =

5). We can solve for k by substituting these values into:

Our equation:

44 = k (5²). Since 5² = 25,

44 = 25k. Divide both sides by 25:

44/25k

Hence our equation is complete:

d = (44/25) * t

"How far will it have fallen in 6 seconds" means, what is

d ift 6? This is equivalent to putting 6 in place of t:

d (44/25) * 6, or

d (44/25) * 36.

Final answer: D = 1200 ft.

( look at the picture attached )

#hopeithelps

I can't answer the 2nd question sorry.