SOLUTION: A ball is tossed into the air from a height of 12 feet at 16 ft/sec. How long does it take to reach the earth?
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Question 330197: A ball is tossed into the air from a height of 12 feet at 16 ft/sec. How long does it take to reach the earth?
Answer by solver91311(24713) (Show Source): You can put this solution on YOUR website!
Height as a function of time for a projectile propelled straight up near the Earth's surface is given by:
\ =\ -16t^2\ +\ v_ot\ +\ h_o)
Your problem gives initial velocity: 
ft/sec.
Your problem gives initial height: 
ft.
You want to determine the value of 
when \ =\ 0)
and 
.
Simply solve the quadratic equation:
And discard the negative root.
Super Double Plus Special Extra Credit
Interpret the meaning of the negative root to the equation and explain why it needs to be discarded.
John
My calculator said it, I believe it, that settles it
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