SOLUTION: An angry construction worker throws his wrench downward from a height of 128 feet with an initial velocity of 32 feet per second. The height of the wrench above the ground after t
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Question 333790: An angry construction worker throws his wrench downward from a height of 128 feet with an initial velocity of 32 feet per second. The height of the wrench above the ground after t seconds is given by S (t) =-16t 2 -32t +128. What is the height of the wrench after 1 second? How long does it take for the wrench to reach the ground?
Answer by Earlsdon(6294) (Show Source): You can put this solution on YOUR website!
Given:
To find the height after 1 second, substitute S = 1 and solve.
Solve for S.
simplify.
The wrench's height is 80 ft. after 1 second.
To find how long it takes for the wrench to reach the ground (height = 0), set the given equation equal to zero and solve for t.
Factor out -16 to simplify this quadratic equation a bit.
Now solve:
Factor.
Apply the zero products rule.
or so...
or Discard the solution since the time, t, will be positive.
The wrench will hit the ground iin 2 seconds.
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