Distance to get to home plate

In summary, the conversation discusses the speed and distance of different pitches thrown by Mariano, specifically a 92mph cut-fastball, an 81mph changeup, and a 67mph knuckleball. The equation d= v1*t+1/2(a)(t^2) is used to calculate the time it takes for each pitch to reach home plate, assuming no air resistance and an acceleration of 0. However, the attempts at a solution are incorrect as they combine terms incorrectly.
  • #1
evelinm
1
0

Homework Statement


If Mariano throws a 92mph cut-fastball to David Ortiz and strikes him out, how long does it take for the pitch to get to home plate? Compare this to a 81 mph changeup and a 67mph knuckle ball.

Homework Equations


d= v1*t+1/2(a)(t^2)

3. The Attempt at a Solution

d=0*t+1/2(92)(t^2)
d=0*t+46t^2
d=t^3+46
d/t^3=46
 
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  • #2
Mph indicates a speed (velocity) toward the plate. In you attempts, you have it in the acceleration place.
Assume no air resistance and acceleration should be 0.
 
  • #3
evelinm said:

Homework Statement


3. The Attempt at a Solution [/B]
d=0*t+1/2(92)(t^2)
d=0*t+46t^2
d=t^3+46
d/t^3=46
Those last two steps are not allowed. You can't randomly combine terms Review your algebra.
 

What is the distance to get to home plate?

The distance from home plate to the pitcher's mound is 60 feet, 6 inches in Major League Baseball.

Is the distance to home plate the same in all levels of baseball?

No, the distance varies depending on the level of play. In high school and college baseball, the distance from home plate to the pitcher's mound is 60 feet. In Little League, the distance is 46 feet. In softball, the distance is 43 feet for both high school and college.

Why is the distance to get to home plate 60 feet, 6 inches in Major League Baseball?

The distance was originally set at 60 feet, but in 1893, it was changed to 60 feet, 6 inches to give batters a better chance at hitting the ball. This extra 6 inches allows for a split second more for the batter to see and hit the pitch.

How does the distance to home plate affect the game?

The distance to home plate plays a significant role in the pace and strategy of the game. It affects how fast a pitcher can throw a pitch and how much time a batter has to react. The distance also affects the dimensions of the playing field, including the placement of the outfielders and the length of the basepaths.

Has the distance to home plate always been the same?

No, the distance has changed multiple times throughout the history of baseball. It was initially set at 60 feet in the 1840s, then changed to 45 feet in 1857, and finally settled at 60 feet, 6 inches in 1893. Since then, the distance has remained consistent in Major League Baseball.

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