SOLUTION: The height h in feet of an object thrown upward from a height of 5 feet, with an initial velocity of 30 feet per second, is given by the equation h=-16t^2+30t+5, where h represents

Question 916626: The height h in feet of an object thrown upward from a height of 5 feet, with an initial velocity of 30 feet per second, is given by the equation h=-16t^2+30t+5, where h represents the height of the object after t seconds. How long will it take the object to hit the ground?
Found 2 solutions by Alan3354, josmiceli:
Answer by Alan3354(69443) (Show Source): You can put this solution on YOUR website!
h=-16t^2+30t+5
---------
When it hits the ground, h = 0
h=-16t^2+30t+5 = 0
Solve for t
Answer by josmiceli(19441) (Show Source): You can put this solution on YOUR website!

When the object hits the ground, the
height above ground = zero, so

Solve using the quadratic formula

( The positive root does not work here )

The object hits the ground in 2.029 sec
Here's the plot:

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