dmartinez130
Height of a Projectile: The height of an object thrown upward from the roof of a building 408 ft tall, with an initial velocity of 96 ft/sec, is given by the equation h=-16t^2+96t+408, where h represents the height of the object after t seconds. How long will it take the object to hit the ground?
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him1618
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when it falls on the ground what is the value of h??
dmartinez130
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0
him1618
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so set that = 0 in the equation
dmartinez130
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So it's -16t^2+96t+408=0?
him1618
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yes...now solve for t
dmartinez130
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Can you show me the steps please?
him1618
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-16t^2 + 96t + 408=0
solve the quadratic equation
dmartinez130
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Can you show me the steps please?
Mertsj
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\[x=\frac{-96\pm \sqrt{96^2-4(-16)(408)}}{2(-16)}\]
Mertsj
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Simplify that.