PLEASE HELP!!!! :( FAN AND MEDAL!!!

Question

littlenugget · Answer

A flare fired from the bottom of a gorge is visible only when the flare is above the rim of the gorge. If it is fired with an initial velocity of 96 ft/sec and the gorge is 128 ft deep, during what time interval can the flare be seen? Use:  $$ h=-16t ^{2}+v _{0}t+h _{0}$$

littlenugget · Answer

I feel like I just read Chinese..... :o

anonymous · Answer

Do you at least have a gist of what the question is asking for? Or how to apply the information given into the equation?

littlenugget · Answer

I dunno, like I feel like i'm supposed to plug something in but all those big words are confusing me :( and i don't know what that little 0 at the bottom is for...

anonymous · Answer

Ok, so basically what the equation is saying is

current height = -16(time elapsed)^2 + (initial velocity) * (time elapsed) + initial height0

Do you know how to work from there?

littlenugget · Answer

I think I get it... still kinda confused

anonymous · Answer

Ok, what part are you confused in?

littlenugget · Answer

like, what do i plug in with each thing? what am i supposed to solve for?

anonymous · Answer

You are trying to solve for the interval of t in which the flare is visible (which is when h > 128, since the flare must be over the gorge to be seen). So, what you can do is solve for both the values of t for which h = 128.

littlenugget · Answer

Can you start out the problem for me? I'm sorry, I'm not good at word problems D:

anonymous · Answer

Also, to help visualize it, remember that the graph of that function (and the path the flare would take) would look like this |dw:1376961257506:dw|