#1**+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

CPhill
Aug 25, 2017