SOLUTION: if a ball is dropped from 288 ft above the ground, how long does it take to reach ground level?

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Question 564717: if a ball is dropped from 288 ft above the ground, how long does it take to reach ground level?
Answer by KMST(5328) About Me  (Show Source):
You can put this solution on YOUR website!
The ball starts with zero velocity (v=0)and accelerates by 32 ft/s each second. At any time, t , during the fall, the velocity in ft/s is
v=32t and the distance covered until that time, in feet, is
d=%281%2F2%2932t%5E2 --> d=16t%5E2
When the ball reaches the ground,
288=16t%5E2 ---> 288%2F16=t%5E2 ---> 18=t%5E2 ---> t=sqrt%2818%29= approx. 4.24 seconds