SOLUTION: Standing on top of a house 48 feet above the ground, Matt shoots a trick basketball shot upward according to the equation h=-16t^2 + 32t + 48, where h is the height of the ball in
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Question 1121456: Standing on top of a house 48 feet above the ground, Matt shoots a trick basketball shot upward according to the equation h=-16t^2 + 32t + 48, where h is the height of the ball in feet and t is the time in seconds. How long will it take for Matt's airball to hit the ground?
Answer by rothauserc(4718) (Show Source): You can put this solution on YOUR website!
h = -16t^2 + 32t + 48
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we want the value of t when h = 0
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-16t^2 +32t +48 = 0
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divide both sides of = by -16
:
t^2 -2t -3 = 0
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factor the left side of the =
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(t-3) * (t+1) = 0
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t = 3 or t = -1
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we reject the negative value for t
:
*******************************************
t = 3
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Matt's airball hits the ground in 3 seconds
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