Question

A rock is thrown from the top of a 48 foot tall building. The distance, d, in feet, between the rock and the ground t seconds after the rock is thrown is given by the equation d=-16t^2+32t+48.

a)How far off the ground is the rock 2 seconds after it was thrown?


b)How long after the rock is thrown does the rock hit the ground?

Answer 1

plug in 2 for t to find distance
plug in 48 for d to find time

Answer 2

okay great! thanks a bunch!!

Answer 3

Do I then foil the problem?

Answer 4

48=-16t^2+32t+48 is this how you would write it to solve it???

Answer 5

yea umm u can take out an 16 so ud get -t^2+2t+3

Answer 6

so then the problem will look like this 48=-16(t^2+2t+3)???

Answer 7

how far did it travel when u solved for t=2?

Answer 8

I got 48 ft

Answer 9

yea thats wat i thought.. so if its a 48ft tall building.. and after 2 seconds it goes 48 ft... .... u c where this is going?

Answer 10

ummmm.......so it will be 3 sec??

Answer 11

lol it went 48 ft and the building is only 48 ft tall so it must have it the ground at 2 seconds right? unless this was a phyiscs question then thers a horizontal toss equation

Answer 12

well I don't know how to do the second equation right them lol

Answer 13

hm no i think 2 would be the answer then cuz if it was physics then the other equation is x=vt and u dont have a v in ur original question

Answer 14

so do i write the question as 48=-16t^2+32t+48 to find d?? I then pull -16 out and minus 48 from both sides??

Answer 15

o.. nvn u were right earlier the answer is 3 because u plug in 0 for distance in d and factor to get the roots of 0 and 3 and since u cant have 0 as ur answer the answer is 3
i didnt read ur original right cuz i was distracted sry :P

Answer 16

Great! thanks for your help!!