SOLUTION: The height h in feet of an object after t seconds is given by the function h = �16t^2 + 30t + 4. How long will it take the object to hit the ground? Round your answer to the

Question 95463: The height h in feet of an object after t seconds is given by the function
h = �16t^2 + 30t + 4.
How long will it take the object to hit the ground? Round your answer to the nearest thousandth.

Answer by stanbon(75887) (Show Source): You can put this solution on YOUR website!
Let h=0 because the height is zero when the object hits the ground.
Then solve for t.
--------------
h = �16t^2 + 30t + 4.
-16t^2+30t+4 = 0
Divide thru by -2 to get:
8t^2-15t-2 = 0
Factor to get:
(8t+1)(t-2)= 0
Positive solution:
t = 2 seconds
Cheers,
Stan H.
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