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## dmartinez130 Group Title 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? one year ago one year ago

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1. him1618 Group Title

when it falls on the ground what is the value of h??

2. dmartinez130 Group Title

0

3. him1618 Group Title

so set that = 0 in the equation

4. dmartinez130 Group Title

So it's -16t^2+96t+408=0?

5. him1618 Group Title

yes...now solve for t

6. dmartinez130 Group Title

Can you show me the steps please?

7. him1618 Group Title

-16t^2 + 96t + 408=0 solve the quadratic equation

8. dmartinez130 Group Title

Can you show me the steps please?

9. Mertsj Group Title

$x=\frac{-96\pm \sqrt{96^2-4(-16)(408)}}{2(-16)}$

10. Mertsj Group Title

Simplify that.