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?

Question

anonymous · Answer

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

anonymous · Answer

0

anonymous · Answer

so set that = 0 in the equation

anonymous · Answer

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

anonymous · Answer

yes...now solve for t

anonymous · Answer

Can you show me the steps please?

anonymous · Answer

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

anonymous · Answer

Can you show me the steps please?

mertsj · Answer

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

mertsj · Answer

Simplify that.