<u>Answer:</u>
The ball fall vertically 2.69 ft by the time it reached home plate 60.0 ft away.
<u>Explanation:</u>
Fastest recorded pitches major-league baseball, thrown by nolan ryan in 1974 = 100.8 mi/hr = 44.8 m/s
The horizontal distance to home plate = 60.0 ft = 18.288 m
We have the horizontal velocity = 44.8 m/s
So time taken = 18.288/44.8 = 0.408 seconds.
The distance traveled by baseball vertically is found out by equation ![s=ut+\frac{1}{2} at^2](https://tex.z-dn.net/?f=s%3Dut%2B%5Cfrac%7B1%7D%7B2%7D%20at%5E2)
Here u =0m/s, a = 9.81
and t = 0.408 s
Substituting
![S = 0*0.408+\frac{1}{2} *9.81*0.408^2 = 0.82 m\\ \\S = 0.82 m= 2.69 ft](https://tex.z-dn.net/?f=S%20%3D%200%2A0.408%2B%5Cfrac%7B1%7D%7B2%7D%20%2A9.81%2A0.408%5E2%20%3D%200.82%20m%5C%5C%20%5C%5CS%20%3D%200.82%20m%3D%202.69%20ft)
So vertical distance traveled = 0.82 m = 2.69 ft