SOLUTION: An angry construction worker throws his wrench downward form a height of 128ft with an initial velocity of 32ft per second. The height of the wrench above the ground after t second
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Question 203756This question is from textbook
: An angry construction worker throws his wrench downward form a height of 128ft with an initial velocity of 32ft per second. The height of the wrench above the ground after t seconds is given by S(t)= -16t^2-32t+128.
This question is from textbook
Answer by Earlsdon(6294) (Show Source): You can put this solution on YOUR website!
Er...what's the question?
Could it be that you want to know when the wrench hits the ground (or an unfortunate passer-by)?
Let's assume that it is!
Given:
the wrench hits the ground when its height, S = 0.
Rearrange this to look like:
Factor out a -16 to ease the calculations a bit.
Note the changes in the signs! Applying the zero product rule, we get:
Factor this quadratic equation.
from which we get:
or Discard the negative solution as the time, t, should be a positive value.
The wrench hits the ground in 2 seconds.
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