Posted by **Michael** on Saturday, October 13, 2012 at 10:05am.

The fastest recorded pitch in Major League Baseball was thrown by Nolan Ryan in 1974. If this pitch were thrown horizontally, the ball would fall 0.809 meters by the time it reached home plate, 18.3 meters away. How fast was the pitch?

So for i know that change in y displacement is -.809 and acceleration of y is -9.81. Also change in x displacement is 18.3m and initial velocity i think is 0.

I can't seem to put it all together to find the answer, help please!

- Physics -
**Elena**, Saturday, October 13, 2012 at 10:40am
x=18.3 m; y=0.809 m. v(x) = ?

x=v(x) •t ,

x²=v(x)² •t² ,

y=g•t²/2 ,

x²/y= 2•v(x)² •t²/g•t²=2•v(x)² /g

v(x)=sqrt{ x²•g/2•y} =sqrt{18.3²•9.81/2•0.809}=12.95 m/s

- Physics -
**Michael**, Saturday, October 13, 2012 at 10:46am
Would you mind explaining how you got the answer in words please? - would really appreciate it.

- Physics -
**Elena**, Saturday, October 13, 2012 at 11:04am
The ball is horizontal projectile thrown with velocity v(x). It takes part in two motions simultaneously: along the horizontal and vertical axis. The horizontal motion of the projectile is uniform motion x=v(x)•t. This is because the only force acting on the projectile is force of gravity: the vertical motion is accelerated motion with initial velocity v(oy) = 0 and acceleration ‘g’ => y=g•t²/2.

For solution, I squared the first equation x²=v(x)² •t² , and then the result I divided by the second equation x²/y= 2•v(x)² •t²/g•t²=2•v(x)² /g. Solving for ‘v(x), I obtained

v(x)=sqrt{ x²•g/2•y} =sqrt{18.3²•9.81/2•0.809}=12.95 m/s

## Answer this Question

## Related Questions

- physics - The fastest recorded pitch in Major League Baseball was thrown by ...
- physics - The fastest recoded pitch in Major league baseball was thrown by ...
- Physics - One of the fastest recorded pitches major-league baseball, thrown by ...
- physics - The fastest recorded pitch in the MLB was thrown by Nolan Ryan in ...
- physics. - The fastest recorded pitch in the MLB was thrown by Nolan Ryan in ...
- physics - One of the fastest recorded pitches in major-league baseball, thrown ...
- physics - One of the fastest recorded pitches in major-league baseball, thrown ...
- physics - One of the fastest recorded pitches in major-league baseball, thrown ...
- physics - one of the fastest recorded pitches in major league baseball. thrown ...
- Physics - One of the fastest recorded pitches in major-league baseball, thrown ...