A boy standing on a 64 foot cliff drops a coin off the cliff. If the equation of the height h of the coin t seconds after it drops is h = -16t2 + 64, about how many seconds will the coin take to reach the bottom of the cliff?
A. 1 second
B. 1.5 seconds
C. 2 seconds
D. 2.5 seconds

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- anonymous

okay what is the height of the bottom of the cliff?

- anonymous

lets go over this together.

- anonymous

probably 64!

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## More answers

- anonymous

try again.

- anonymous

haha :O ok ya lets go over it.

- anonymous

you can almost see that 2 squared is 4, and 4 * 16 = 64

- anonymous

the equation states that h is the height of the coin t seconds after it is dropped. You are asked to find when it reaches the bottom. So what is the height of the bottom?

- anonymous

the cliff is 64 ft. right? lol cuz u said whats the height of the bottom of the cliff
i think

- anonymous

yes, I know what I asked. So, answer me, what do you think the height of the bottom of the cliff is?

- anonymous

64!

- anonymous

if I am 6 feet high, how high is the bottom of my feet from the ground?

- anonymous

ok uhmm blonde moment rite now how bout 16?

- anonymous

0

- anonymous

YEAAH

- anonymous

haha wow blonde moment

- anonymous

throw h=0 in and solve for t!

- anonymous

Yes!. so the moment the coin touches the bottom of the cliff, it is 0 feet high from the ground.

- anonymous

rite.

- anonymous

craig is trying to rush through it lol

- anonymous

so equate h to 0 and solve the equation, that is,
0 = -16t^2+64

- anonymous

ah! ok one moment keep typing watever ur typing.

- anonymous

or, 16 t^2 = 64. or t^2 = 4 or t = +2 or -2. Since time cannot be negative, t = +2. So it takes 2 seconds to reach the bottom.

- anonymous

OH!!!! ok ok

- anonymous

that makes sense! (: thx!! xD

- anonymous

okay great! you are welcome.

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