+0  
 
0
454
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avatar+171 

 Help me please!!!

 Aug 25, 2017
edited by BOSEOK  Aug 25, 2017
edited by BOSEOK  Oct 6, 2017
 #1
avatar+98141 
+2

 

I'll do what I can ....!!!

 

I used this tool for (24) ....http://keisan.casio.com/exec/system/14059932254941

The data was almost perfectly modeled as a quadratic

Here's the image....note that they use the odd form  Cx^2 + Bx + A  .....!!!

 

 

(25)   The equation that seems to fit best  is (roughly) :

 

y =    -15.9023229x^2 + 110.484418x + 3.015677  

Where x is the time in seconds and y is the height at that time

 

(26)  at x = 0....the height is ≈ 3.02 ft.

The velocity at this time is given by the  coefficient on the "x"  term ≈ 110.48 feet per second  

 

(27)  Set  y  = 6 and solve for x...so we have

 

6 =   -15.9023229x^2 + 110.484418x + 3.015677   subtract 6 from both sides and rearrange as

 

 -15.9023229x^2 + 110.484418x - 3.015677  = 0

 

I'll let you put this into the quadratic formula to solve for yourself.....

A = -15.9023229 

B = 110.484418

C = - 3.015677

Using Wolframalpha to solve this..

.

http://www.wolframalpha.com/input/?i=-15.9023229x%5E2+%2B%C2%A0110.484418x+-%C2%A03.015677+%C2%A0%3D+0

 

The outfielder has about   6.92 seconds

 

 

cool cool cool

 Aug 25, 2017
 #2
avatar+99324 
+1

Thanks Chris,

I had not seen that calculator before.  :/

 Aug 26, 2017

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