SOLUTION: I'm having difficulty with this problem: If an object is propelled upward from the ground level with an initial velocity of 224 ft per second, it's height "h" in feet "t" seconds l

Question 248253: I'm having difficulty with this problem: If an object is propelled upward from the ground level with an initial velocity of 224 ft per second, it's height "h" in feet "t" seconds later is given by the equation h=224t-16t^2. After how many seconds does the object hit the ground?

Answer by jim_thompson5910(35256) (Show Source): You can put this solution on YOUR website!
Start with the given equation.

Plug in since the height at the ground level is zero.

Rearrange the equation and terms.

Factor out the GCF -16t

or Set each factor equal to zero.

or Solve for 't' in each equation

So the object will be at the ground level when t=0 or t=14. Ignoring the trivial answer of 0, this means that the object will hit the ground after 14 seconds.
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