SOLUTION: how long will it take a ball dropped from top of a 225 foot tall building to hit the ground? rounded 2 decimals

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Question 475943: how long will it take a ball dropped from top of a 225 foot tall building to hit the ground? rounded 2 decimals
Answer by Earlsdon(6294) About Me  (Show Source):
You can put this solution on YOUR website!
Start with the function of the height of a falling object as a function of time:
h%28t%29+=+-%281%2F2%29gt%5E2%2Bv%5B0%5Dt%2Bh%5B0%5D where: g+=+32ft%2Fsec%5E2(acceleration due to gravity), v%5B0%5D+=+0( initial velocity), and h%5B0%5D+=+225(initial height)
When the ball reaches the ground, its height is zero, so set h%28t%29+=+0
0+=+-16t%5E2%2B225 Solve for t.
16t%5E2+=+225
t%5E2+=+225%2F16
t%5E2+=+14.0625
t+=+3.75seconds.