SOLUTION: A window washer accidentally drops a bucket from the top of a 64-foot building. The height (h) of the bucket after t seconds is given by the following formula: h=-16t^2+64. How lon

Algebra ->  Customizable Word Problem Solvers  -> Travel -> SOLUTION: A window washer accidentally drops a bucket from the top of a 64-foot building. The height (h) of the bucket after t seconds is given by the following formula: h=-16t^2+64. How lon      Log On

Ad: Over 600 Algebra Word Problems at edhelper.com


   



Question 105585: A window washer accidentally drops a bucket from the top of a 64-foot building. The height (h) of the bucket after t seconds is given by the following formula: h=-16t^2+64. How long will it take for the bucket to hit the ground?
Answer by Fombitz(32388) About Me  (Show Source):
You can put this solution on YOUR website!
At time t=0, the bucket is at a height of 64 feet,
h=-16t%5E2%2B64
h%280%29=-16%280%29%5E2%2B64
h%280%29=64
At what time will the bucket hit the ground, that is, when is the height equal to zero?
h%28t%29=-16t%5E2%2B64=0
-16t%5E2%2B64-64=0-64Additive inverse of (64)
-16t%5E2=-64
-16t%5E2%2F%28-16%29=-64=-16Multiplicative inverse of (-16)
t%5E2=4
t=2
In takes 2 seconds for the bucket to hit the ground.
Look out below!