I need help with Modeling

This is a word problem and I have no clue how to solve it.

Mt. Thor in Canada is said to have the longest vertical drop(4100 ft.) on Earth. How long would it take for a pebble dropped off the cliff to reach the ground? (Hint: The height of a falling object above the ground t seconds after it is dropped can be modeled by s(t) = -16t^2 + So where So is the initial height.)

Re: I need help with Modeling

Quote:

Originally Posted by

**tracieemra72** Mt. Thor in Canada is said to have the longest vertical drop(4100 ft.) on Earth. How long would it take for a pebble dropped off the cliff to reach the ground? (Hint: The height of a falling object above the ground t seconds after it is dropped can be modeled by s(t) = -16t^2 + So where So is the initial height.)

S_0 = 4100 ft, s(t) = 0

$\displaystyle s(t) = -16t^2 + s_0$

$\displaystyle s(t) - s_0 = -16t^2$

Can you finish from here?

-Dan

Re: I need help with Modeling

Quote:

Originally Posted by

**topsquark** S_0 = 4100 ft, s(t) = 0

$\displaystyle s(t) = -16t^2 + s_0$

$\displaystyle s(t) - s_0 = -16t^2$

Plug the numbers in:

$\displaystyle 0 - 4100 = -16t^2$

$\displaystyle \frac{4100}{16} = t^2$

Surely you can finish it now?

-Dan