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NotSoSmart  Jan 11, 2018
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 #1
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y  =  -16x^2 + 105x  + 12

 

Time to reach max ht  =    -105 / [ 2 * -16]  =  105/32  sec

 

Put  this into the function to find the max height  =

 

-16 (105/32)^2 + 105(105/32)  + 12   =  184.27 ft

 

And the time it takes to hit the ground  =

 

-16x^2  + 105x  + 12  =  0

 

( -105 ±√ [ 105^2   - 4(-16)(12) ]  )  /  [ 2 (-16)] 

 

( -105 ±√ 11793 )  /  -32     take the negative sign

 

( -105 - √11793 )  / -32  ≈  6.67  sec

 

 

 

 

cool cool cool

CPhill  Jan 11, 2018

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