# SOLUTION: Suppose That A Flare Is Launched Upward With An Initial Velocity Of 80 Ft/sec From A Height Of 224 Ft. Its Height In Feet, H(t), After T Seconds Is Given By H(t) = -16t2 + 80t + 22

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 Click here to see ALL problems on Travel Word Problems Question 239059: Suppose That A Flare Is Launched Upward With An Initial Velocity Of 80 Ft/sec From A Height Of 224 Ft. Its Height In Feet, H(t), After T Seconds Is Given By H(t) = -16t2 + 80t + 224 After How Long Will The Flare Reach The Ground? Answer by ankor@dixie-net.com(15622)   (Show Source): You can put this solution on YOUR website!Suppose That A Flare Is Launched Upward With An Initial Velocity Of 80 Ft/sec From A Height Of 224 Ft. Its Height In Feet, H(t), After T Seconds Is Given By H(t) = -16t2 + 80t + 224 After How Long Will The Flare Reach The Ground? : When the flare reaches the ground, H = 0, find t: : -16t^2 + 80t + 224 = 0 we can greatly simplify this, divide by -16 t^2 - 5t - 14 = 0 This factors to (t-7)(t+2) = 0 Positive solution t = 7 seconds after it is launched ; ; Check this; replace x with 7 in the original equation H = -16(7^2) + 80(7) + 224 H = -16(49) + 560 + 224 H = -784 + 784 H = 0