SOLUTION: a hammer is dropped from a construction project 576 ft above the ground. the height h(in ft) of the hammer is mideled by the position equation h(t)=-16t^2+ 576 where t is the time

Algebra ->  Polynomials-and-rational-expressions -> SOLUTION: a hammer is dropped from a construction project 576 ft above the ground. the height h(in ft) of the hammer is mideled by the position equation h(t)=-16t^2+ 576 where t is the time       Log On


   



Question 76827: a hammer is dropped from a construction project 576 ft above the ground. the height h(in ft) of the hammer is mideled by the position equation h(t)=-16t^2+ 576 where t is the time i seconds. how long will take for the hammer to reach the ground?
Answer by Edwin McCravy(20060) About Me  (Show Source):
You can put this solution on YOUR website!

a hammer is dropped from a construction 
project 576 ft above the ground. the height 
h(in ft) of the hammer is mideled by the 
position equation h%28t%29=-16t%5E2%2B+576 where t 
is the time in seconds. how long will take 
for the hammer to reach the ground?

Plug in h%28t%29+=+0 
That's because when it hits the ground its 
height above the ground is 0.

h%28t%29+=+-16t%5E2%2B576

   0+=+-16t%5E2%2B576

 16t%5E2+=+576

Divide both sides by 16:

    t%5E2=36

Take positive square roots of both sides:

     t+=+6

Answer: the hammer hits the ground in 6 seconds.

Edwin