SOLUTION: A projectile that is fired vertically into the air with an initial velocity of 120 ft per second can be modeled by the equation s=120t-16t2. In the equation, s is the distance in f

Algebra ->  Quadratic Equations and Parabolas -> SOLUTION: A projectile that is fired vertically into the air with an initial velocity of 120 ft per second can be modeled by the equation s=120t-16t2. In the equation, s is the distance in f      Log On


   

Question 890125: A projectile that is fired vertically into the air with an initial velocity of 120 ft per second can be modeled by the equation s=120t-16t2. In the equation, s is the distance in feet of the projectile above the ground after t seconds. Is it possible for the projectie to reach 900 feet? Justify you answer.
Answer by stanbon(75887) About Me  (Show Source):
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A projectile that is fired vertically into the air with an initial velocity of 120 ft per second can be modeled by the equation s=120t-16t2. In the equation, s is the distance in feet of the projectile above the ground after t seconds. Is it possible for the projectie to reach 900 feet? Justify you answer.
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See if there is a Real Number solution for:::
-16t^2 + 120t = 900
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b^2-4ac = 120^2-4*-16*-900 is less than zero
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So t is a complex number.
So the projectile never reaches 900 ft.
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Cheers,
Stan H.