SOLUTION: Use the function h(t)=-16t^2+v0t+s A projectile is launched from a building 256 feet tall. If the initial velocity of the projectile was 96 feet per second, how long will it tak

Algebra ->  Equations -> SOLUTION: Use the function h(t)=-16t^2+v0t+s A projectile is launched from a building 256 feet tall. If the initial velocity of the projectile was 96 feet per second, how long will it tak      Log On


   

Question 1114859: Use the function h(t)=-16t^2+v0t+s
A projectile is launched from a building 256 feet tall. If the initial velocity of the projectile was 96 feet per second, how long will it take the projectile to land on the ground?
Found 2 solutions by Alan3354, stanbon:
Answer by Alan3354(69443) About Me  (Show Source):
You can put this solution on YOUR website!
Use the function h(t)=-16t^2+v0t+s
A projectile is launched from a building 256 feet tall. If the initial velocity of the projectile was 96 feet per second, how long will it take the projectile to land on the ground?
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Impact at h(t) = 0
Solve for t.

Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
Use the function h(t)=-16t^2+v0t+s
A projectile is launched from a building 256 feet tall. If the initial velocity of the projectile was 96 feet per second, how long will it take the projectile to land on the ground?
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Equation:
0 = -16t^2+96t+256
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Divide thru by -16 to get:
t^2 - 6t - 16 = 0
(t-8)(t+2) = 0
Positive solution::
time = 8 seconds
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Cheers,
Stan H.
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