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Sagot :
Answer:
6.5 seconds
Step-by-step explanation:
Ok so the equation you gave is -16T^2 + 676 in the comments which is what I'll be using for this problem. The problem is really just asking you to find the zeroes of the equation excluding any negative solutions since that doesn't really represent anything in this context since T is time.
So the first step is to set the equation equal to 0
[tex]0 = -16t^2 + 676[/tex].
Subtract 676 from both equations.
[tex]-676 = -16t^2[/tex]
Divide both sides by -16
[tex]42.25 = t^2[/tex]
Take the square root of both sides
[tex]\pm6.5 = t[/tex]
Ignore the negative and take only the positive solution, since in this context it doesn't make much sense. So after 6.5 seconds the height is 0, meaning it hits the ground after 6.5 seconds.
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