SOLUTION: a child at a swimming pool jumps off a 12 foot platform into the pool. the child's height in the feet above the water is modeled by h(t)=-16t to the power of 2 +12, where t is th

Algebra ->  Rational-functions -> SOLUTION: a child at a swimming pool jumps off a 12 foot platform into the pool. the child's height in the feet above the water is modeled by h(t)=-16t to the power of 2 +12, where t is th      Log On


   

Question 122394: a child at a swimming pool jumps off a 12 foot platform into the pool. the child's height in the feet above the water is modeled by
h(t)=-16t to the power of 2 +12, where t is the time in seconds after the child jumps. how long will it take the child to reach the water?
if you can show me the work please
thank you for your help
Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
a child at a swimming pool jumps off a 12 foot platform into the pool. the child's height in the feet above the water is modeled by
h(t)=-16t to the power of 2 +12, where t is the time in seconds after the child jumps. how long will it take the child to reach the water?
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The child's distance above the water when it hits the pool is zero.
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Let the height be zero and solve for "t".
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-16t^2+12 = 0
-4t^2+3 = 0
t^2 = 3/4
t = sqrt(3)/2 seconds or appoximately 0.8660 seconds
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Cheers,
Stan H.