+0

0
454
2
+171

Aug 25, 2017
edited by BOSEOK  Aug 25, 2017
edited by BOSEOK  Oct 6, 2017

#1
+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

Aug 25, 2017
#2
+99324
+1

Thanks Chris,

I had not seen that calculator before.  :/

Aug 26, 2017