Baseball Parametric Equations with Wind

In summary, the problem involves a baseball being hit with an initial velocity, height, and angle, with the only force affecting its path being gravity. The wind speed and direction should be disregarded, making the problem a potential trick or misleading question.
  • #1
Futmex128
1
0

Homework Statement


A baseball is hit with an initial velocity of 103 ft/sec, with an initial height of 3 ft, and at an angle of 41 degrees. There is a wind blowing 22ft/sec in the direction opposite to the horizontal path of the ball at an angle of depression of 12 degrees. Assume that gravity is the only force affecting the path of the ball. Disregard air resistance and spin.


Homework Equations


V=Velocity
For the X equation it should be Vcos(D)T where D=the degree at which the baseball is hit
and T=time
For the y equation it should be Vsin(D)T - 16t^2 + initial height


The Attempt at a Solution


I know that if the wind was blowing exactly horizontally then the equation for X would be X=103cos(41)T - 22. But, I'm not sure how the wind's angle of depression would affect this. It also has to alter the equation for Y since the wind blows downwards so the height will go down. Can someone explain how to account for the wind's angle of depression? Thank you.
 
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  • #2
?? The problem says "Assume that gravity is the only force affecting the path of the ball. Disregard air resistance and spin. "

The wind should be completely ignored!
 
  • #3
This problem comes down to whether it's a trick question or a misleading question. If the wind speed is given but you're meant to be ignoring all other forces except gravity, then it's a trick question. Else, if you need to take wind into consideration it's a misleading question.

Simply put, stupidity on their part.
 

Related to Baseball Parametric Equations with Wind

1. What are parametric equations and how are they used in baseball?

Parametric equations are mathematical equations that describe the motion of an object in terms of independent variables, such as time or distance. In baseball, parametric equations are used to model the trajectory of a ball, taking into account factors such as wind speed and direction.

2. How does wind affect the flight of a baseball?

Wind can significantly impact the flight of a baseball by altering its trajectory. The direction and velocity of the wind can cause the ball to curve or drop, making it more difficult for batters to hit and for fielders to catch.

3. How are wind conditions measured and incorporated into parametric equations for baseball?

Wind conditions are typically measured using an anemometer, which measures wind speed and direction. This data is then incorporated into the parametric equations for baseball, such as the equation for a curveball, to calculate the effect of wind on the ball's trajectory.

4. Are there any other factors besides wind that affect the flight of a baseball?

Yes, there are several other factors that can affect the flight of a baseball, including air density, temperature, and spin rate. These factors can also be incorporated into parametric equations to more accurately model the ball's trajectory.

5. How do parametric equations with wind help in analyzing baseball games?

Parametric equations with wind can provide valuable insights for coaches and players in analyzing baseball games. By understanding the effects of wind on the ball's trajectory, players can adjust their strategies and make more accurate predictions for fielding and hitting. Coaches can also use this information to make informed decisions on pitcher and fielder placement based on wind conditions.

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