Physics

posted by .

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 -

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 -

Would you mind explaining how you got the answer in words please? - would really appreciate it.

• Physics -

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

Similar Questions

1. physics

one of the fastest recorded pitches in major league baseball. thrown by billy wagner in 2003, was clocked at 101.0 mi/h. if a pitch were thrown horizontally with this velocity, how far would the ball fall vetically by the time it reached …
2. physics

One of the fastest recorded pitches in major-league baseball, thrown by Billy Wagner in 2003, was clocked at 101.0 mi/h. If a pitch were thrown horizontally with this velocity, how far would the ball fall vertically by the time it …
3. physics

One of the fastest recorded pitches in major-league baseball, thrown by Billy Wagner in 2003, was clocked at 101.0 mi/h. If a pitch were thrown horizontally with this velocity, how far would the ball fall vertically by the time it …
4. physics.

The fastest recorded pitch in the MLB was thrown by Nolan Ryan in 1974. If this pitch were thrown horizontally, the ball would falll .809m (2.65 ft) by the time it reached home plate, 18.3 m away (60 ft). The acceleration of gravity …
5. physics

The fastest recorded pitch in the MLB was thrown by Nolan Ryan in 1974. If this pitch were thrown horizontally, the ball would falll .809m (2.65 ft) by the time it reached home plate, 18.3 m away (60 ft). The acceleration of gravity …
6. physics

The fastest recoded pitch in Major league baseball was thrown by nolan ryan in 1974. If this pitch were thrown horizontally, the ball would fall 0.809m(2.65 ft)by the time it reached home plate, 18.3m (60ft) away. how fast was ryans …
7. Physics

One of the fastest recorded pitches major-league baseball, thrown by Nolan Ryan in 1974, was clocked at 100.8 mi/hr. If a pitch were thrown horizontally with this velocity, how far would the ball fall vertically by the time it reached …
8. physics

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 m (2.65 ft) by the time it reached home plate, 18.3 m (60 ft) away. The acceleration …
9. physics

One of the fastest recorded pitches in major-league baseball, thrown by Tim Lincecum in 2009, was clocked at 101.0 mi/h (see the figure). If a pitch were thrown horizontally with this velocity, how far would the ball fall vertically …
10. Physics

One of the fastest recorded pitches in major-league baseball, thrown by Nolan Ryan in 1974, was clocked at 96.8 mi/h. The acceleration of gravity is 32 ft/s^. If a pitch were thrown horizontally witha velocity of 96.8 mi/h, how far …

More Similar Questions